I don't think Beasley will do much there due to a lack of available playing + touches + shot attempts but Beasley will be an upgrade over Rashard Lewis as backup PF for 10-15mpg.
PG: M.Chalmers, N.Cole
SG: D.Wade, R.Allen, J.Jones
SF: L.James, S.Battier, M.Miller
PF: U.Haslem, M.Beasley, R.Lewis
C: C.Bosh, C.Andersen, J.Anthony, G.Oden
I suppose it is possible Beasley could beat out Haslem as starting PF. Haslem has declined quite a lot in recent years. Beasley's offensive game would be a great fit in their spread out offense if he can adjust to being lower on the pecking order.
Not expecting that to happen though. It would be nice if it did though. I would love to see Beasley come good. Talented player.
On another note, that Miami Heat bench is really impressive. At a minimum they have 13 players you would happy throwing into a playoff game. Plus whatever end up with in M.Beasley and G.Oden. Unusual to have so many playoff-ready options on one's bench. Deep team.