Make sure you are asking the right vendors. Jeep specific vendors wouldn't recommend 4.56s for your application. They don't match up well with an underpowered engine and the .69 overdrive gear.

 

Yeah when I first started researching gears I never thought of 5.13 ratio, but after researching and learning that the auto is way high geared at the transmission.
If you look at the charts even a Stock Rubicon should have 4.56 gears with 32 inch tires, so think of that as baseline
4.88 I think would be ok for 33's and 5.13's for 35/37 tires
Remember most 35 inch tires measure only 34

 

I'm running 33s with 4.56s and they are nice around town. On the highway they aren't bad and give a decent gas mileage. If I had to do it over again I would seriously consider 4.88s
If you are planning on moving up to 35s then you won't be happy with 4.56 gears.

 

Are you manual or auto

 

Here's a gear chart for 33s auto for 3rd and OD. It shows 3.73 as the base



Edit: Here is a chart for 35s too. Just for an automatic.

 

auto as my signature states

 

I don't usually read people's profiles on my phone, only when I'm on my home computer.

 

I'm not sure where you got those charts but I was referring to what stock rpm is with stock gearing. Then look at recommended gearing and what the recommended rpm is
If you look at that is recommends that even stock 32 Rubicon size of tire is too high geared and a lower gear is recommended.

 

Yeah I accidentally quoted myself

 

I've got 513's on my 07 auto with 35's. Runs great!!! Thinking about going 37's when these need to be replaced. My understanding is I'll be just fine.