Militant Atheism?

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Why should I not object if someone of a different ideology does the same?

Because it isn't fair. It's hypocritical. It's usually tyrannical and myopic.

I think I'm right, doesn't mean I think they also are.

They think they're right. Live and let live.

I think it's sensible that people who think harm bad monitor what people do with kids, I don't think it sensible that people who love harm have the same rights.

Actual harm? You may think a parent is doing harm to their children while being so stupid and unfair that you can't see someone might think the same about you. It's like banning people from a forum using the rules to silence the opposition. That's what the law is for. And yes, the law can be fucked with just like the rules, and yes the law and the rules seem more kind to some than others, but ultimately if you want to object you have to allow for others to.

I prefer my ideology over other people's.

Everyone does that, dear.