Jeff Fogle over on Stats Intelligence has a nice post up analyzing the Sweet Sixteen matchups. Unlike most analysis you'll see, this is actually grounded in the team statistics instead of some pundits vague intuitions.
Unfortunately for me, Jeff comes to the same conclusion I did about UCLA's chances against Florida: not very good. UCLA did beat Arizona (a team very similar to Florida) in the final of the Pac-12 Tournament, but Arizona was a little tired for that game, and UCLA enjoyed a tremendous advantage on the free throw line. You never know what the officiating will be like in the Tournament, but I'll be very surprised if UCLA ends up with a significant advantage in that category.