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Why wouldn't they? They wanted BYU back in the '90's until Baylor was forced in.
They probably remember that and would still want BYU. TCU would be another Texas school that makes the south division have 7 and the north have 5, that would be disastrous for the Big 12 because they would then have to break up one of the rivalries in that division to move one of the Oklahoma schools into the North division. BYU is much closer to the North Division teams and would fit in perfectly geographically. BYU and TCU are about the same in talent and it wouldn't really matter talent wise which team they chose. BYU would be the obvious option if Mizzou went to the Big 10.
What I'm scared about is if the Pac-10 and the Big 10 both expand at the same time. The Pac-10's contenders are Utah and Colorado. Big 10 would want to pick up Mizzou. If they both expand, that would almost screw the MWC because the Pac- 10 would take Utah, done that's one down. the Pac-10 would also take Colorado and the BIg 10 take Mizzou. that leaves 2 openings in the Big 12 North Division. BYU, like I said, would be the obvious choice for one of the spots. There, that's 2 down, we're left with TCU and an open spot in the Big 12 North Division. Then if the Big 12 can't find anyone that's a geographical fit and will be able to compete in the Big 12, they will have to go with what I talked about in the previous paragraph, they would have to move one of the Oklahoma schools up to the North Divison and then invite a team to go to the south division in which TCU is a perfect fit for them. There, Our "Big 3" would be gone and we'd be stuck inviting almost all the candidates for expansion, even though some of them don't even deserve it. Boise St. might not even join us at that point and maybe even Fresno St. would turn us down to stay in the WAC. If the Big 10 and Pac-10 both expand, then the MWC is screwed unless...
We expand before the Pac-10 or Big 10 does. If we have already expanded to 10 or 12, then it is more likely that Utah, BYU and TCU would stay with us even if they got an invite. If we invite, Boise St, Fresno St, and Houston, then we will no longer be a top heavy conference. We will have 4 great teams in the conference and would have 6 marquee matchups of them per year. Not to mention we would also have Fresno St. and Houston playing against some upper tier MWC schools and maybe upsetting them, getting the conference popularity and improving the excitement of conference play. The 3 top schools we currently have would see that and realize that it might be a better idea to wait in the MWC and see if they get an AQ.
The MWC needs to expand before the Pac-10 or the Big 10 do and should expand to 12, that makes the conference even more interesting than if they add just Boise St. The top teams will be more inclined to stay even if they got an invite. If we don't expand soon we will have no shot at becoming an AQ for the BCS. We would probably be scrambling around for teams that didn't even deserve to be in the MWC, teams like SMU and UTEP. We need to expand and we need to expand now.