Black Panther - If in his suit, it should be a stalemate, as BP can't put Mark down, but Mark has no way of doing anything but kinetically-charging BP's suit with his glaives and strikes. Maybe if Panther saves a kinetic charge punch directly to Mark's face, maybe it puts him down for a KO, but that's the only way I see Panther winning.
Captain America - Mark stomps unless Cap has mjolnir and can shoot some lightning bolts at Mark.
Winter Soldier - Mark stomped before the Falcon and the Winter Soldier TV show, but after...Bucky gets uber-stomped.
Winter Soldier
In his ceremonial armor, Moon Knight looks resistant to virtually all conventional harm. Those spears they shoved through his body in episode 3 only slowed him down, and he popped them off without taking any damage at all. He's closer to someone like Ghost Rider now, rather than a street level vigilante. So yeah. I'd say he's far above super soldier level.
I know Marvel had a decision to make here, because no Marvel vigilante has been called a copy of Batman more than Moon Knight. So they chose to lean into what makes him different - dissociative identity disorder and the mystical connections. I know the comics have portrayed him having mystical enhanced capabilities as being something in his head he imagines, but it's more fun to watch him have them for real.