This is why. See link 1. See link 2. Notre Dame already has a traditional Thanksgiving rival, or actually two of them. In even years, they play at USC for Thanksgiving weekend. On odd years, they play at Stanford. They've traditionally played Southern Cal on Thanksgiving (either every year or at least every other year) for decades, going back to at least the 1940s. See link 3. Granted, their practice of playing Stanford on alternating Thanksgiving is relatively recent, and they would possibly be willing to give that up in theory (although not necessarily in practice, more on that later). But ND is not going to give up their longtime Thanksgiving date against USC, who is their primary rival, for anyone, including Texas.
The best that you could do is try to get Notre Dame to agree to alternate between playing USC and Texas every other Thanksgiving, essentially replacing their recent practice with Stanford. But who would Texas play in odd years? Also, consider it from ND's perspective. For the Irish, that would mean ending each regular season with a loss more often than not. Tough sell. And that is in addition to whether Notre Dame will decide that playing two traditional powerhouse programs from the sun belt region of the country every year - regardless of the date of the games - is in their interests. Keep in mind: they also play Michigan and Michigan State every year. You be the guy to make the case why playing USC, Michigan, Michigan State and Texas every year is a good idea for Notre Dame (or any other program for that matter) especially since ND isn't exactly going to just drop all their other traditional rivals and tough games. ND wants to play a national schedule to maintain their profile, but they don't want that schedule to be so hard that it doesn't allow them to contend for the BCS and national titles. Since they aren't in a conference and can't automatically qualify for the BCS by winning one, ND can't lose more than 2 games in a lot of years, and definitely can't lose more than 3. So, even if they would emerge from Michigan/MSU/USC/UT with a 2-2 record, they would have to run the table against everybody else.
So give up the Notre Dame delusion. It ain't happening.