I drove my last '77 CJ-7 for 8 years everyday with no stabilizer, no problem, was my daily driver. It had a 2 1/2" Skyjacker lift, and had 31x12.50 tires on it, and Clifford Hopped up 258. I put on about 25,000 miles a year, a lot of highway and some off-road.
It was so unnoticeable that my upcoming project will also not have one.
Just a note, all of your other suspension components should be in good shape if you take it off. I was running Polyurethane bushings everywhere with high quality springs, etc, it makes a difference.