Should the Heat attempt to acquire D. Howard?

I know the Heat won the championship, but no reason not to get better if it's possible. Dwight and LeBron have been the two (arguably) best players in the East for years and have carried teams with lesser talent. I would go as far as to say I would trade Wade and Bosh for Howard, but I'm betting they could get him for less, especially with another team involved. The Heat can also target some big time vets in free agency to build around the new nucleus. Players like Allen and Nash are obvious, but they could also target a guy like Rashard Lewis (going to be cut by New Orleans) who was deadly when he played with Howard. I'm also interested to hear your thoughts on any other big trades that could/should happen like something with Gasol.