As Missouri will find when they join the SEC and become the conference team that makes Vandy and Ole Miss look good. There was a piece in the paper over the weekend on how Missouri hopes that they can keep the Border War alive with Kansas, and they're getting the same reaction that A&M is getting. Rivalries are almost always between conference partners where the game means more. In walking away from their conferences, A&M and Mizzou want to have their cake and eat it too. That ain't gonna happen. Nor should it. And their plaintive wail of "We wanted to continue the rivalries but Texas and Kansas said no" is really ridiculous.
And the fact of the matter is that the Thanksgiving Day game on national TV belongs to Texas and that tradition will continue no matter who Texas plays.
Most likely that game will now be against Tech, but the rumor is that the networks want Texas v. Notre Dame on Thanksgiving.