I've seen this done before, and it works.
You are aiming to go as straight and as fast as possible in MUD, the easiest way to acheive this is to have the front tires spin faster than the rear.
I agree with just switching to 3.73's, or the tire size to acheive the same result.
I have only seen one truck owner match the gearing correctly and have the guts to run 40 inch tires in the rear and 33 inch tires in the front, and he deliberately ran a stock NP-203 transfer case to allow the internal differential take care of any gearing differences he might have.
The truck was mostly for show but he wasn't afraid of hosing off a few hundred pounds of mud if the occasion popped up, and someone called the truck a trailer queen.