I don't think this will take them long to sort this out. There are quite a few legal issues, espcially about who will get the "Big East" name plate, but I think everyone involved will want this settled sooner rather than later.
I think if "The 7" want just Xavier, Dayton, and Butler, there could be a lot of resistance. Butler is just in their 1st A-10 season, and Xavier and Dayton are very loyal. I think all three would move if it involved more A-10 schools. The new conference could be anywhere between 10-16 schools. Unlike football, a 16 team basketball conference with 2 divisions works well. I would think that Creighton, St. Louis, Butler, Xavier, Dayton would make a nice 12 team conference. Add VCU, and Richmond and it would make for a nice 14 team conference with great geography. Add St. Joes and Robert Morris could make it 16, but then it is getting very "East" oriented. Gonzaga and St. Mary's on the West coast are a posibility, but I think that is remote. They would likely have to be basketball only memebers due to travel, and that leaves those two schools with issues when it comes to alignment of their non-basketball programs. The West Coast may not let them leave for basketball and stay just for the other sports.
UC and UConn will not be part of the discussion. They would only be temporary members until they found another home and "The 7" have had enough of that stuff already. There is word that the Big 10 will raid the ACC for two more schools, and if that happens UC and UConn will land in the ACC. Or the Big 12 could jump in and take them.
It will be very interesting!!!