Not next year - but maybe the year after.
Essentially, Miami has 5 players, but it's a good five. What they now have to do is build up the role players around them, and do it with minimum contracts (and trades for those minimum contracts). That doesn't impress me as being easy.
I think ultimately, though, the way the Heat organization revered Alonzo Mourning and Tim Hardaway after their long years of service, Pat Riley and an organization committed to winning, a pleasant environment, and no state income tax made for a good recruiting combination. Cleveland couldn't offer Riley, no income tax, and the pleasant environment.
Caleb said it well, though - the guy went from being the most popular basketball player on the planet to the most hated in one night.