If it was genetically/spiritually passed on wouldn’t that make baptism obsolete? Just asking for clarification!

Or would the genetic part be our desire to continue to do our own will not God’s? 

Water baptism erases the guilt of original sin and regenerates the soul for the other requirements for salvation: Faith and works in Jesus Christ at the age of reason; and, essentially, Faith in, and practice of, what's contained in the Athanasian Creed.

I understand what baptism is. I am a baptized Catholic, Quid. I mean if it’s not part of us genetically, what would the purpose of baptism be? You can’t wash away genetics. 

You obviously don't understand baptism, for if you did, you wouldn't ask the question in the first place, and then follow it up with another spin.

The question is answered, but you refuse to hear it. The dense cranium of a modern woman.

You can wash it away SPIRITUALLY
But you can’t wash away genetics. 

Concupiscence remains as a lingering effect after baptism.

I remember that from Religious class. So, I wonder if we have to fight our genetics to stay true to Gods will. 

If original sin is genetic as well as spiritual.

We're all wounded physically, mentally and spiritually because of original sin, but the soul is freed of its guilt upon water baptism.

But Blessed Mary and the *human nature* of Jesus Christ still experienced temptations and they had free will, just as Adam and Eve when they were first created without the stain of sin. As we know, Mary and the Christ chose God over temptation every time, but Eve, and subsequently, Adam, chose sin over God.

* * Jesus Christ is a Divine Being with two natures: Divine and human

Do the Church Fathers address this topic? Did St. Thomas Aquinas?

My opinion is expressed below,  so notice the use of modal verbs and the hypothetical "if".

If Adam had refused Eve's request to taste of the forbidden fruit, then Adam, as head of the First Family, could have prayerfully led Eve to repentance as acts of repentance and forgiveness are graces from God.  Then Adam would have fulfilled his role as Priest, Prophet, and King. When the two met Christ on their daily walks in Eden, then Adam could have begged Christ to forgive Eve, and things could have been restored.

But would that initial rebellious sin of Eve have left a weakness that could have been passed onto their offspring? Would Christ as Savior and Redeemer still need to be born to redeem us?

We must also ask: Why was Christ our eternal King and God known as the Incarnate God? He created the world, and appeared as the Incarnate God in His daily walks in the Garden of Eden even before His Incarnation as a New Born Child.

"O Happy Fault that merited such and so great a Redeemer!"

Even St. David the Psalmist begged forgiveness and was forgiven long before the birth of Christ. Psalm 50 is a product of that repentance.

Growing up I've always been told that if Eve alone sinned, mankind as a whole would not have fallen. Though we are and must be born from a woman, it is the man who transmits Original Sin to his children, not the woman, because the man is responsible for deciding the course the family is to take.

"From the woman came the beginning of sin, and by her we all die." ~ Ecclesiasticus 25:33

This is talking about the current reality of things.

Growing up I've always been told that if Eve alone sinned, mankind as a whole would not have fallen.

This is talking about the "what if" scenario.
She's not wrong.