The Wildcats (2-5) erased an early seven-point deficit and took the lead on a Tom Droney layup.
Gibbs was 6 of 9 from the field and hit a trio of 3-pointers. Droney had 13 points and Brian Sullivan added 12.
Stetson, which opened its season with an eight-game road trip, was led by Green with 30 points on 11-of-14 shooting. Brian Pegg and Graham each had 15 for the Hatters.