Realistically, the only people that would do that, aren't in good enough shape to be actual superheroes. Let's not forget vigilante justice is illegal, so the most they could do are citizens arrests. Let's not forget the government and law enforcement would know exactly who they are with DNA tests. Also hate to break it to you, but I've never seen any proof of magic anywhere ever.
If there was someone who could fight like Batman and could scale building expediently and they had a superhero costume, then yeah that would be pretty cool, but it's nearly impossible. The only real life superheroes go around chasing loiterers and people doing drugs unfortunately.