It always seemed to me having multiple tags on a LE hunt would be cool, until I participated in LE hunts the last 3 years. Honestly, I personally would never do a group application on a LE hunt. It can be hard and draining enough filling one tag.
The other down side of doing two together is it is less hunting. Why not one this year and one next year? Each help the other out. Twice as much time on big bull hunts!
I would be 100% okay hunting the Wasatch late hunt if I was in that point class. My recommendation would be, however, to not put in together. But do the hunt two years in a row. (Both should have enough to draw individually. Combined at 12 they would be guaranteed I think.)
Tell the one with 13 points to draw. Tell the one with 11 to take one for the team by buying a point and planning to hunt next year instead.