A man who thinks his shit don't stink. Thinks he's better than everyone else, especially to other men. A man who thinks he's in charge of everything/everyone.
Look at John over there acting Cock strong bossing the other guys around. Better not get Cock strong on me, he ain't the forman.
A guy with a wandering/lazy eye. His eye is weighed down due to the size of his johnson.
Man: "that dude has got a messed up eye."
Girl: "No, he's just cock strong, trust me!"