Whoo boy.
Ok, his body is easy - pretty much every bodybuilder already aspires to that kind of muscle mass, and it is healthy to be strong, so I guess that part passes.
His character? Hell no. Don't get me wrong, I love "kill your gods" storylines - fighting free of divine restraints and all that, especially since I'm one of those idealistic guys who thinks it's better to sacrifice your life than your ideals. Kratos pretty much doomed the entire world, but not because he was fighting for freedom from the gods, just because of his personal revenge. And sure, what Ares and Zeus did to him wasn't nice, but doesn't he overreact a bit? Like, sure, Ares tricked you into killing your wife, but you kinda agreed to do his bidding, so isn't it your fault that you expected the god of Bloodshed and Warfare to not be cruel and break you? Also, it was technically dishonest of you to break your oath to Ares.
And once he got his revenge on him and gained his powers, instead of saying "I accomplished what I set out to do - I have my revenge now, I can live in peace!" he completely went overboard with the whole "NEW GOD OF WAR" thing and started taking towns just for fun. Yeah, he ordered his Spartans to start war with cities, killing countless innocents (even if he told them to spare every non-soldier, there are always innocent casualties) just because "well, that's what a God of War does, right?". Because of him, many more soldiers came home to find their family dead. Did THEY get the chance to get revenge on the God of War? No, because this is all about fucking Kratos. He is egotistical in his deepest core.
And then, when Zeus essentially tricked him to give up his powers and said "you've been a douche, we're taking your murdering privileges!" instead of finally sitting down and thinking WHY he even fights and WHY all this bloodshed is needed, he just starts ripping through gods that legitimately just wanted to stop the murdering lunatic who stomps off to kill Zeus.
So, I can't see anything about his character as aspirational - because even though it is implied he did something good (freeing the world of Men from the rule of Gods, even if it meant extinction for both), he didn't do it out of principle, he just did it for his petty feeling of being wronged, when he was really just punished for being the most hypocritical asshat in the Greek pantheon.