Ed, if you really want an answer, given Moore's roots at Southern Mississippi, I would begin by Reading Joe Crespino's In Search of Another Country; then begin an investigation of Moore's adoration of Francis Schaeffer. I imagine he answered the Francis Schaeffer, had better inflection accent on that question than the other two candidates you profiled.
How Far does Mohlerism as an ideology stray from Francis Schaeffer? Not far.
The Mohler cancer in the SBC will not be treated until Billy Graham's legacy comes clean on the breach between Billy and Francis at the Lausanne Conference of circa 73.
Otherwise Mohler sails on under cover of the pass Gus Niebuhr gave him in Beyond Tolerance.