Ok, so let's explore my premise and see if it is faulty.
You live in the US in 1850. Slavery is occurring in half the country. It is the law of the land, but you find this practice immoral and repugnant. Is it your position that you should MYOB, because you don't own slaves and you don't have to own a slave if you don't want to?
Or, do you think it is your moral duty to struggle against the unjust enslavement of a segment of the population?
Interesting analogy.
A couple of problems. One, freeing the slaves deprived no one of their civil rights. Forcing women to give birth deprives someone of their civil rights, in fact in makes the woman in question into a slave (which is unconstitutional).
Two, just because one thinks they have a moral duty to force the population to follow a set of morals doesn't mean the forcing is constitutional. For instance, I am uncomfortable with all the gun deaths but that doesn't mean it is my right to force people to give up their constitutionally protected right to bear arms. In your example, there is no constitutional right to own slaves. But there is a constitutional right to not be a slave...and again, forcing a woman to bear a child is a form of enslavement.
I suppose this is where empathy

is a good thing in a judge. If I were a judge, it wouldn't affect me personally if abortion were illegal because I've had my tubes tied. But my empathy is powerful enough (by virtue of being a woman and a human) to realize that others could be enslaved by making abortion illegal...and that if you can enslave people for religious or moral reasons then anything is on the table.
Actually, at the time we are discussing, slaves were considered chattel property and therefore were Constitutionally protected by the 4th Amendment.
By contrast, the "extra-Constitutional" right found by the justices in Griswold v. Connecticut, the so called right to privacy, is found textually nowhere in the Constitution. Instead, the justices found a "penumbra" of rights "flowing" from 4th, 5th and 8th amendments, that "amounted" to a right to privacy.
I happen to buy the conversion of the woman's womb by forcing her to bare children argument. I'm not sure people who actually support the side I'm arguing would.
Absolutely, the abolitionists were pushing an unconstitutional agenda. The right to own slaves was preserved in the Constitution and cemented in 1859 by the Dred Scott decision in the Supreme Court. So, they were absolutely pushing against the Constitutional rights of the slave holders in the South.
In any case, my point three posts ago was that these people need to compromised with, not that they need to win. A compromise is not a capitulation. The end game would maintain the right to abortion, but maybe not anytime, anywhere. Very few rights are unencumbered by any restrictions or regulations. This should not be an exception.