Part of being "manly" is protecting and caring for those who you love. It doesn't matter how many mooks you can kill in 30 seconds. So, Kratos is a very bad example, because he is a complete ****.
Any media will probably provide the team's "big guy" or "generic asshole" with a redeeming side, or a more fleshed out personality. In 1, it was clear he was going on that route.. but then the directors changed, the series god gradually worse, and Kratos was made into a generic, 1-dimension stand-in. He's more of an antagonist, if anything - it's like telling your kid, "Now, I want you to be like Voldemort and murder innocent people.. Hell, your name will basically mean "Death Nose" in Greek, you can't get more immoral than that, go kill people". Or something not as poorly worded.