"So Feingold brings it up, Senator Frist calls for Unanimous Consent to VOTE on it, and Reid has to object to having a vote, because they don't actually want to vote on it."
If the Democrats don't want to vote on it, they can get Feingold to withdraw it. It's not necessary to play a cheesy political game.
Somewhere I read that Feingold did withdraw it. Then Spector and someone else tried to get him to debate it, but he supposedly refused to return to the floor.