A 2.5" lift is more than enough for 35" tires.
You can go with a budget boost/spacers, or a real coil-lift. The coil-lift will give the best ride.
Since this is a 2x4, and I doubt you will really take it off-road, I would look into the AEV 2.5" lift kit. It has a reputation as an excellent on-road ride. Not dissing the AEV crowd re AEV's off-road capability (except the drop brackets...not good for rock crawling). But AEV has the best rep for a street ride, hands down.
Once you go above 3", you start needing a lot more to make things work correctly.
No new steering stabilizer is necessary. As a matter of fact, many people, myself included, do not use a steering stabilizer. Save your $$$, don't buy one.
2008 2-dr Rubicon, auto,
RK 2.5" Max Travel, Fox 2.0 shocks, 37" Nittos, 5.38's, RR skids, Warn VR8000-S.
RIPP Gen 2 Stg 2 Supercharger.
"Don't give up 5 minutes before the miracle occurs."