Jordan Jefferson is not bad, but not that good either. He has played in two games: the Ole Miss game and the Arkansas game. The only game he has started was against Arkansas and here are his stats for that game:
19 rushes for 50 yards (way worse than Tyrod)
9/21 143 yds and 2 TD (QB Rating of 131 is pretty darn good)
Stats for the season:
http://sports.espn.go.com/ncf/player/profile?playerId=378564
If you look at his season stats, you can see that he is not that great of a rusher. He more of a passer than rusher and doesn't come close to Tyrod Taylor in terms of dual threat.
We don't really have to worry about LSU's offense, it's their defense/our offense that will determine who wins this game. If they force a ton of turnovers, it is an LSU win. If we don't fumble, it is a GT win.