So, if this is just 4 teams picked by a committee there is nothing that was done that will cause ND to join a conference. You can kiss that idea goodbye friends.
The committee will also have to base its decision on RPI from what I understand. ND would only make the top 4 if they went undefeated (same position as FSU). They need a major conference affiliation to have a shot as a 1-loss team.
Their schedule is:
09/01/12 vs. Navy Dublin, Ireland 9:00 a.m. ET
09/08/12 vs. Purdue Notre Dame, Ind. 3:30 p.m. ET
09/15/12 at Michigan State East Lansing, Mich. 8:00 p.m. ET
09/22/12 vs. Michigan Notre Dame, Ind. 7:30 p.m. ET
10/06/12 vs. Miami Chicago, Ill. 7:30 p.m. ET
10/13/12 vs. Stanford Notre Dame, Ind. 3:30 p.m. ET
10/20/12 vs. BYU Notre Dame, Ind. 3:30 p.m. ET
10/27/12 at Oklahoma Norman, Okla. TBA
11/03/12 vs. Pittsburgh Notre Dame, Ind. 3:30 p.m. ET
11/10/12 at Boston College Chestnut Hill, Mass. TBA
11/17/12 vs. Wake Forest Notre Dame, Ind. 3:30 p.m. ET
11/24/12 at USC
That is stronger than any Pac12 team's schedule