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It seems the crux of this question is "These guys are too strong, aren't they worried about accidentally killing someone?"
If they do put someone in an intensive care unit for punching them too hard, that's Does Not Know His Own Strength.
The fact that they can control themselves well enough to not do this is part of Required Secondary Powers. (Super Strength requires the secondary power of Super Self-restraint.)
Also see Invincible Hero and its related tropes for characters who are so OP in their own story, there's no realistic threat of them losing.
Do we have this? Realistically Superman or Thor have no business stopping muggers for example - they'd have to be so careful not to kill anyone or cause ludicrous collateral damage they'd be totally ineffective. Even looking at someone like Spiderman, if you actually analyse his strength and abilities, he shouldn't be either - someone who can fight the entire classic X-Men lineup to a standstill could easily punch someone hard enough to liquefy them - it's only his web shooters that allow him to non-lethally take down normal humans.