Overall I think UT is the better team. However, match ups often make the game. If you account for the opponent quality difference the two are similar defensively. Both play very good pass D. Mizzou is better against the run by a littler.... but again that doesn't account for competition.
Offensively, UT is 12th in total O while Mizzou is 11th. They're separated by 11 yds per game... Mizzou doesn't play Bama and has already played Vandy which should improve UT statistically. The Vols even playing musical chairs throw it a little better while Mizzou runs it a little better. UT's receivers are better than Mizzou's by a significant margin. RB's are similar both in talent and stats.
If UT can stop Mizzou's run game and have some success throwing then the Vols will win. If Mizzou can run the ball effectively and cover JJ and MC then they'll likely win.,