Welcome to Bama.
On Friday evening / night I'd eat in downtown Tuscaloosa at any of several choices already named. A personal favorite is Mugshots or Mellow Mushroom. Also a Sweet Cee Cees ice cream place there. Head on down University Drive and hit the strip. There will be plenty of nightlife activities going on there.
Here's what I'd suggest for Saturday morning before the game. Breakfast at Ramma Jamma on the southwest side of the stadium. After breakfast, walk east past the stadium, for future reference notice the yogurt / ice cream joint inside the stadium as you pass, and in 3 or 4 blocks you'll be at the Bryant Museum (opens at 9 a.m.). You can spend a good 2 hours in there. From there head toward the Quad and you'll be in the middle of tailgate city, T-Town style.
Hope you enjoy your visit to Bama just not the ballgame. Roll Tide.