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How can I root for LeBron without rooting for the Heat? I wanted him to get a ring, and therefore I wanted the Heat to get a ring. It's not a big deal.
LeBron and Steve Nash are two of my favorite players, and have been for a very long time, so naturally I would root for their respective teams. And the Suns have always been a favorite of mine, so I continue to support them now. I don't see any issue with liking teams that have faced off in the past...
I'm not sure what the point of your message was. Is it wrong for me to start supporting the Heat when a favorite player of mine becomes the face of their franchise? That doesn't make me any less loyal to the Suns or Sonics.