Naptime or Snacktime? This CBS story will not allay this Senate aide's fear that the White House will "start plucking votes one-by-one." Key paragraph from CBS story:

Bush's scheduled lunch on Tuesday with GOP senators is part of a campaign by the White House and allies in both parties to placate or outmaneuver conservative Republicans who blocked the broad immigration measure this week. They said Friday they would try again to reach accord on the number of amendments the dissidents could offer.

Of course, "conservative Republicans" were not the only ones who voted against cloture. Or in favor of the Dorgan amendment....