Read other letters about this article
The Bill you reference does not list any penalties for abortions or practical consequences for obtaining an abortion. All that it would do, in actual terms, is undo Roe vs. Wade... which would automatically, according to the U.S. Constitution, shunt the issue straight back to the states, since the Constitution gives the federal government no powers in the issue. The federal government doesn't deal with murders... that's the prerogative of the states and state courts.
As such, that bill ONLY makes abortion a state's rights issue.
It's a subtle thing, I know, and requires an understanding of Constitutional government that I'll admit our current government tends to ignore. But that bill does not in any way make abortion illegal. It simple makes the states take a stance on it as an act of violence, with penalties that may range, depending on how the citizens of the states wanted them to, from absolutely nothing (have a nice right to your body!) to death for the doctor, the mother, the father, and any other family members deemed guilty (also known as, "this state legislature is going to go down in flames in the next statewide election."). Mind, that latter option probably wouldn't hold up in the courts.