Crist may be new to the Senate, but he is not new to politics. I doubt he burns his bridges. Lieberman, if anything, was in better position to do that due to his veteran status. The only way Crist does it is if he is sure he's coming out ahead with some new found allies. My guess is, if he gets in this way then he will cozy back up to the GOP.
It's not entirely up to Crist, though. He can cozy up to the GOP all he wants, if the caucus doesn't want him, they don't have to have him.
The idea that Crist was kicked out is what he wants you to think. He lost and now is looking to make it look like it was really his choice and commitment to some higher goal that has inspired this action. He does not have any goals higher than attaining office.
Members of the GOP elite may actually be a participating in his gambit.
I'm not at all suggesting that Crist was "kicked out." He was losing a primary. That's all. Like Lieberman and Specter and others, he saw that the only way for him to maintain any shot at keeping office was for him to go independent. Crist is hardly alone in this regard.