Let me rephrase, to counter your answer.
Do you think that running the ball on both first and second down, late in the game in your own territory, after not having established a running game for the first 3 1/2 quarters, is the best approach to scoring to make it a one possession game?
And after 21 unanswered points, should Rex really have had that much faith in his D, particularly his secondary, at that point in the game?