It is interesting. As others have said, Amar'e is a health hazard. On top of that, he's a pretty poor defender. We'd have to believe that KG could turn him around.
That said, him running with Rondo, Bradley, and Green would be scary, and it certainly would give us a go-to scorer. Furthermore, assuming he could stay healthy, a core of Rondo, Bradley, Green, and Stoudemire might be enough to entice another superstar to come when Pierce and KG expire.
Still, NY would have to want to dump his deal. Otherwise, they should simply aim at trying to sign Ray and/or Bass as free agents. They could have Stoudemire and one or both of them.