He may well dislike the President. But Kristol is not going to use the Miers opportunity to bring down the Bush administration at the cost of the party and principles he believes in, which was the ludicrous charges made on this thread.
Kristol is ambitious and would undermine the president if it would get him more facetime on FNC or a top position in a McCain administration. It's not that he doesn't have principles and an ideology -- he does -- but he cares a great deal more about his own professional success.