I don't want to get into this deeply, but regardless of the true shape of the earth, this is a ridiculous and ignorant charge.
I don't know how many buy into this, but I've seen at least one person (troll?) who literally and actually thinks that those who believe the earth is a globe are Globalists in every sense of the term:
A "globalist" is someone behind the nєω ωσrℓ∂ σr∂єr, someone pushing for population control, One World Government, and is either powerful, or working closely with the powerful to bring about this Antichrist-dominated world. Globalists include Ted Turner, George Bush, Obama, Hillary Clinton, all the Neo-cons, and so forth.
To lump in the opponents of Flat Earth with this group is about the most IGNORANT and ridiculous thing I've heard -- and I've heard a lot in my day!
Globalists are NOT about promoting a globe-shaped earth. They are promoting a one-world economic and political system. One that is "global", get it? Idiots!
Globe earth isn't what their movement is about at all. Saying otherwise just shows your profound ignorance on the matter.