That's really an oversimplification. They don't care what a woman does with her body, they care about the childs rights.
They are having fun with it, you mean. If it weren't an enjoyable activity to them, they'd drop the issue already.
It is fun, though. That's the whole point of a wedge issue. You invent some made up problem and then fight for it in an effort to feel the glory of superiority. It is effectively a sport.