You will like the performance and mpg gain from going to 4.10 with the larger tires and wheels, but at the same time it's not totally necessary. It would get you back to a stock tire size performance however. The good news is the 11.5 axle uses threaded adjusters, so it's not too bad to change out the ring and pinion, not as involved as say doing a 10 bolt 8.6 rear axle
For the LBZ on 37s I wouldn't do 4:56's but its up to you, super overkill IMO.I would ask @Cornell What he recommends, If I remember right he was saying 4.10 is better with 35s and 4.56 with like 37-38s
I've read before that turbo and supercharged vehicles need a little less gearing than N/A because they need some resistance to pull against.
Working on buying the other components today. Still need to select a set of tunes. I will update here when complete.
Really need to get the ball rolling!