McCarron completed 13-of-16 passes for 171 yards in his 36th win, surpassing Jay Barker for the school's all-time mark.
Kenyan Drake ran the ball 11 time for 77 yards with a score for the Tide (11-0), who next face Auburn in the annual Iron Bowl clash with an SEC Western Division title on the line.
The Moccasins (8-4) could manage only 175 total yards against Alabama's defense.
Quarterback Terrell Robinson was held to 82 passing yards with an interception on 10-of-15 efficiency.
Swim Week Miami Beach 2014 [PHOTOS]