Flat-Earther:  I learnt everything I know about the earth being flat from my next-door neighbor.

You mention that there is no such thing as a geocentric ball theory in science, so it's interesting that Neil keeps using mainstream science to back up his views. That's why I thought he was a heliocentrist - I didn't see any obvious evidence that he was using a geo-centric model, though I may have missed it.

As you say, the ball-earthers should explain how it is that NASA has obviously lied about the fact that the earth is not a moving, rotating, barreling earth, but that NASA (they believe) is telling the truth about the earth being a globe.

What is it about NASA that inspires such confidence that they as an organization are held up as promoters of truth, even when it's shown that NASA has not been honest about other important issues? After all, NASA does not promote or even believe in God. What has NASA done to promote the idea of God, of Our Lord, or the Kingship of Christ? They've done absolutely nothing.

Yes, Neil has made a decision to fight this, but his approach as you say, is contradictory...on many levels. (Shameless pun)  The flat earth/sphere dichotomy is a huge clue to getting to the point of flat earth. We have great enemies who hate God and are intent making themselves God and enslaving us.  Yet so many "God fearing men" heartily believe the enemy's false notion of creation.  Belief in the devil's propaganda provides evil men tremendous power.  But evil only has that power if we freely give it away by believing lies rather than God, His Word, the Church, etc.  Flat earth incites the deepest of passions because we're talking about people's own little twisted world, in their own little twisted minds, who prefer a certain little twisted relationship with God based on their demonic world view. And they like it! Hence the vitriol you endure when you share the one thing they fear most: God's world, God's rules.  
The true and Catholic view of our environment frees us, enlightens us, enables us to love God, worship Him with understanding, humility and awe. Not to mention, it helps protects us from becoming enslaved in a myriad of ways.  It seems to me that flat earth gives us the necessary grounding we need to connect to God and to trust Him even more.  It even provides a backdrop for understanding why mundane duty, maintaining simplicity, and being grounded, especially in truth, are so necessary and so good. A right understanding of our earth really does matter.  Ultimately, flat earth reflects God's Word rather than the globe which puts a spin on it (pun again).  God's firm, level playing-field foundation actually provides a physical basis for trusting His Word.  

.
An accurate picture of the sun, moon and earth depicted on one page or one computer screen would look like a line going across the page or screen, and would not convey any information. The purpose of the out-of-scale images is to bring the details of the very long reality down to size so its parts can be observed. When we watch an eclipse in person we are seeing the whole picture from the end of the line segment, so we do not observe the length of it because of its foreshortening due to our line of sight. It can be compared to a rifleman sighting a target through a riflescope. What he sees in the scope is an enlarged image of his target, but he cannot see the side view of the bullet's impact. That takes another point of view, at the target. But if we take that same point of view and try to draw in the length of the shot and include the image of the rifleman holding his gun, suddenly the parts of the whole picture become so small on the page that the whole thing would look like a line, conveying no information of the details of the rifle or target.
.
For you to be consistent, you would then say, that since the details of the rifleman and target cannot be given on one page then you do not have to believe that they exist. Does that make any sense?
.
Or take the finding of the Titanic on the ocean floor. Try to draw a picture of the searching ship on the water's surface, with the cables going down into the depths of the sea, at the end of which is the submersible craft with lights and camera, showing as well the wreck of the Titanic on the ocean floor. Try to fit all that on one page showing details such as the shape of the submersible and identifiable parts of the ship, and don't forget, the length of the cable is over one mile, or 5,280 feet. For you to be consistent, you would have to say that since those details cannot be shown on one page then you don't have to believe they were possible, and that the Titanic was never found or observed as they reported it was.
.
For something to have happened at a great distance it is not necessary that the whole event must be viewable on one page or one computer screen with an accurate scale image.
.
Can you show a detailed picture of the airport where you took off, the flight path of the aircraft over hundreds of miles, the airplane you flew on, and the airport you landed, all on one page? If not, then you must not have taken any such flight because it cannot be shown on one page or one computer screen, no?
.

Them's some fine lookin' trailers, mr. Ohcha. I'm just wishin' that the trailer park that me and them other flat earthers are livin' in looked as fine as that'un. Land sakes, why, they probly even has cable television! Hee Haw!

Yes, Neil has made a decision to fight this, but his approach as you say, is contradictory...on many levels. (Shameless pun)  The flat earth/sphere dichotomy is a huge clue to getting to the point of flat earth. We have great enemies who hate God and are intent making themselves God and enslaving us.  Yet so many "God fearing men" heartily believe the enemy's false notion of creation.  Belief in the devil's propaganda provides evil men tremendous power.  But evil only has that power if we freely give it away by believing lies rather than God, His Word, the Church, etc.  Flat earth incites the deepest of passions because we're talking about people's own little twisted world, in their own little twisted minds, who prefer a certain little twisted relationship with God based on their demonic world view. And they like it! Hence the vitriol you endure when you share the one thing they fear most: God's world, God's rules.  
The true and Catholic view of our environment frees us, enlightens us, enables us to love God, worship Him with understanding, humility and awe. Not to mention, it helps protects us from becoming enslaved in a myriad of ways.  It seems to me that flat earth gives us the necessary grounding we need to connect to God and to trust Him even more.  It even provides a backdrop for understanding why mundane duty, maintaining simplicity, and being grounded, especially in truth, are so necessary and so good. A right understanding of our earth really does matter.  Ultimately, flat earth reflects God's Word rather than the globe which puts a spin on it (pun again).  God's firm, level playing-field foundation actually provides a physical basis for trusting His Word.  

None of the new analogies above make your case more plausible. I've already said why your view doesn't make sense. That hasn't changed.