The shortest path to reducing or eliminating abortion is to make it unnecessary for the woman to have to choose it. Not everyone is Catholic. Not everyone believes in God. Most people support the right to an abortion. So if eliminating or reducing it is what you truly believe in and you want to see it end, legislation (can be overturned), threats against doctors or clinics (will turn public opinion against you), or judicial strong-arming (both A and B) will not work long term.So basically get your way.
Getting your way is not a compromise.
So force Catholics to say being Gay is moral and not against their religious code?
You don't have to like it, you just have to accept it and work to make it unnecessary. Making contraception inexpensive and widely available. Promote sex education. Stop hounding and harassing doctors and clinics. Stop whining to your legislatures to do God's bidding.
There is a path forward to making abortion disappear. I cannot for the life of me understand why anti-abortionists just cannot see the forest for the trees.