Your Jeep looks great!OP- your Jeep looks great!
I've taken almost the same approach (I did add a 1.5" spacer lift, though). I also like the "stuffed" look- and I wanted to run 37" tires.
Deleting the spare is perhaps the best thing I've done to my Jeep so far (better visibility, easier on my tailgate, the back end comes up 1/2", plus shedding 80 lbs helps with the get up and go- it's the equivalent of adding 8 hp).
The new wheels push the tire center 1.5" outwards, and as mentioned I added a 1.5" spacer lift (which is actually 1.5" and the front 1").
Going with just a small spacer allowed me to keep the stock shocks and control arms, and it is such a slight difference I didn't even need to adjust the steering wheel. I did add 2" of bump stop, but honestly when we flexed the suspension I could probably go with just 1" of extra bump stop).
I've had no rubbing whatsoever in actual driving- including offroad. We determined maximum flex combined with maximum turn creates very slight contact with the stock inner liner- but the offroading I do is unlikely to create that situation very often if ever.
I also agree with the "need" for 37." I went back and forth between 35" and 37" and really glad I went with the larger tire. This was just the look I wanted, and the combination of tires/spacer has gained me just over 3" of ground clearance (which is the main thing I need for the type of offroading I do).