They are both clearly the best program in the history of their respective sports, but I have to say the Alabama dynasty in recent years probably pushes it over the top when one factors in the total number of titles. Even if you take out some of the very questionable titles Alabama has won due to the stupidity of college football polls in the olden days, they still have double digit number legit titles. Now if UK can win this year and get to 9 and win another one in the next couple of years to get to 10 then maybe it goes the other way a bit.
It is very close, and obviously the fact that Alabama gets its best players for 3 years and good players for 4 years vs. 1 year for UKs best players and 2-3 tops for their good players...it's very apples to oranges IMO.