I agree, cordobes, that would be a much better, and far more feasible, tournament. Make it like the Beanpot, rotating which teams play each other in the opening round. (i.e., NBA champ plays Euro winner one year, SA winner the next year, Aussie winner the third year). Of course, scheduling would still be nearly impossible since teams change rapidly after a season is complete (i.e., NBA free agents, overseas players changing teams or even leagues) but the idea, I think, is better.
As for having the team play, I do think they'd win. The international game, from what I've seen and heard, is actually a lot more physical, meaning our team would be great for it. I think it stems from the fact that they don't have the same handcheck rules. And the keys to winning in international basketball are team play (which we have in abundance) and good outside shooting (with Ray, Paul, Eddie and Poze, we'd have some strength there). But the lack of real big men might hurt us.
I, of course, wouldn't want us to go. We need time to heal and recover for a shot at a repeat. With their bumps and bruises from the Finals, I don't want Rondo, Perk and Pierce playing in a prolonged international tournament.