Question about FOCA

So I have some questions about the Freedom of Choice Act or any other pro-abortion enforcing laws out there. I am going to be a medical professional someday, and I feel that a fetus is another individual from the moment that it has it's own DNA regardless of whether or not it is in constant need of another individual or not--don't we all constantly rely on others? (Don't tell me you pieced together your own computer from some rocks and minerals you found with your bare hands, or the fact that you rely on farmers for food, policemen for security, etc.) That's just my belief.
So how is it that people can expect the government pay for an elective procedure (correct me if I am wrong about that) for a woman that doesn't want a child, when it won't pay for elective procedures to sterilize men who don't want children either?
How can people expect to require doctors or even med students (who are people with beliefs, too) to perform elective procedures despite it going against their beliefs all on account of educating them? We wouldn't require Jewish people going through law school to defend the atrocious acts of the Holocaust to facilitate their learning experiences, would we?
If someone has the answers, I would LOVE to hear them.
Oh, and by the way, I am pro-choice--"pro" as in Latin for "before" and a "choice" of condoms, or IUDs, or sponges, or pills (including day-after's), or shots, or even abstinence should be enough options to prevent unwanted children. There should be no need to stop another individual's beating heart just to evade responsibility.