I think the evidence against him must be pretty strong for police to be making a public statement like this, while the guy is lying in a hospital in critical condition. This clearly isn't just a case of a child who made a claim and a father who believed the claim and acted on the belief.
Maybe, maybe not. We can’t just go around beating people up, unless for real he caught or saw the guy do it, then, perhaps wrongly, I’d probably go along with it. Otherwise it’s not civil.
If you beat ME up falsely, then only God could protect you.