After resisting, arguing, and her crying, I gave in.
Oh, sweetie, no. You were a willing participant. She didn't steal your penis under cover of night. The word NO is a useful one to know. In the alternative, you should have marched your ass down to the pharmacy, picked up Plan B One-Step, and stood over her while she took it. People who absolutely positively do not want children do not engage in unprotected sex.

About a month ago, she was diagnosed with Bi-Polarism, while my independent studies suggest that Borderline Personality Disorder is a more likely culprit, especially due to her childhood traumas.
Where is your degree in psychiatry from?

what mitigating role does the mother's mental state play?
ZERO. She could be Sybil, and it would not excuse you from your legal obligation to help support the child you helped make. Here you are, carrying on about "satisfying your obligations", but you're trying to weasel out of this one because the woman you chose to have unprotected sex with is mentally ill. Why should your child live in poverty because her mental illness makes you uncomfortable? You're not punishing her, you're punishing the child, who wasn't even asked for you two to bring him into the world.

I am...unsatisfied with the entire situation.
Why? It's a situation of your own making. Where in the world did you come up with this "reproductive abuse" nonsense? All she did was CRY, she didn't tie you to a chair and rape you.

I saw no references whatsoever to law
The law requires you to support your child. Period, end of story, no get out of support free because Mama is crazy.

The mocking you for acting like a spoilt manchild is free of charge.