Guess what, when has the church ever done anything from the gospel to stop it?
It sounds like you are making excuses for that inaction. Caesar can do little. The church can do much. The church that leaves it to Caesar deserves the debacle it sees.
The Church (all of Christianity - Catholic, Protestant, Orthodox) has opposed the killing of the unborn since it’s birth. It has taught against this evil doctrine since the beginning of the Church. This includes influencing politicians and voters to establish laws against the murder of the innocent.
It has only been recently that the evil has become so wide spread that it now allows for and even promotes the murder.