The Question said:
Let's see.......
Superman: I'd have him operate out of Los Angeles. Since there's very few super heroes there, and the crime rate is spiking now that The Pride is gone, he'd become L.A.'s posterboy hero. This would, of course, lead to him having a tenuous relationship with the Runaways. His main enemies would be the Wrecking Crew, how would have set up shop in L.A. While they lack smarts, they certainly have the brute force to give Supes a threat. He'd eventually become the leader of a new West Coast Avengers.
Wouldn't that kill Superman? Fighting a team of people who are mystically empowered, who individually can take on Thor? Especially one of them who's actually defeated Thor in combat?
I dunno. Here's my take on them.
Superman: a lone hero. Marvel's crazy about the mere human tragedy condition, and Superman would fit this perfectly. Probably a little emo, but hey, if I were the last one of my kind, I'd be too. (Not really, but yeah.) Hey, it's under the rules of a new character, he doesn't have to be the old Superman like many are going to compare him to.
Batman: A little different. Not so morose and individual. This is the type of person who actually sees a team as a functional good idea. I see him flat out leading a team Steven Strange style. Though I'd keep most of his grim and such, just not AS much.
Wonder Woman: Believe it or not. Thor villan.
Flash: An MGH experiment gone wrong, more of an anti hero, and does what he wants to do.
Green Lantern: A suitable "west universe/east universe" counterpart against the Nova Corps. One started in one place, one started in another, and both are trying to police the universe. Though you would balance out their powers a bit more. Or even better yet. Regular types start out as Nova's, where elite or special forces types turn into GL's.
Aquaman: I'd have him take Attuma's place. Not like evil or anything. But like a one throne two princes thing. They're both in line for the throne, or even they patrol different parts of the ocean or something. I'd like a relation to start between them, and their arrogance to bring them to conflict.
I'd really not care if Hawkman were in it or not. If he were, I'd rather him just... I dunno... play small parts that I wouldn't really care about in Arana or something.
Martian Manhunter would play a similar Superman role most likely. Though I'd like him to actually be a Skrull. Like the guy in Squadron Supreme.