I am neither Catholic nor pro-life, but if you see abortion as murder (as many do) it makes sense to be morally outraged by anyone's murder, not just their own.
I don't even know you, but I am against the idea of anyone murdering you. See how that works?
Okay, but if you, specifically outlaw murdering me, this will surely draw attention at my person and might harm me.
You might be outraged, but you should only be confined to measures that 1) are proven to work, and 2) can be enforced consistently.
It looks like a law against abortion does not usually work: abortion is illegal in africa but they do much more abortions per one person than in europe where it is generally okay.
So if you really care you should take good parts from what europe is doing and work on that. But if you are religious, you take pride in acting irrationally but faithfully, and you will jail people up, spread unsafe illegal abortions and hurt the bottom line (no of abortions per person in your country).
You know, Jesus died so you can do all of that and still feel saved.
Those positions aren't mutually exclusive. There are plenty of pro-life people who work on the demand side of the abortion scenario, it's not all clinic bombers, even though they are the most newsworthy.
I don't even know you, but I am against the idea of anyone murdering you. See how that works?