At the start of the heroic age when Steve became top cop, I had hoped that Steve would be in charge of SHIELD, Stark would be in charge of ARMOR, and Thor (even though it doesn't entirely make sense) would be in charge of HAMMER.
Maybe Stick Black Knight on SWORD to round things out.
But all that would probably be taking the play on names a bit too strongly.
As far as this team getting play... I suspect they'll have about as much a shot of sticking around as the People's Defense Force we saw in Slott's Mighty Avengers. Even Alpha Flight struggles to remain relavent, and their first run went over 100 issues.