What you can do inexpensively immediately to SIGNIFICANTLY improve your ride is to replace the ProComp ES-3000 shocks with Rancho RS5000x shocks. The ES-3000 shocks are WAY too stiff and will shake the fillings out of teeth, they're a horrible shock for the Wrangler. And if you decide to go with the Rancho RS5000x, don't let anyone get confused and sell you the older and much stiffer RS5000 which rides like your ProComp ES-3000 shocks ride like.
And no, it's not the ProComp springs causing your stiff ride. They're actually very good springs and they will ride great with the right shocks and tire pressure.
Also, check the pressure in your 35's. My bet is they are grossly overinflated, most tire shops and Jeep owners don't know what pressure tires should be at except for the factory size tires. For 35's, you should be running no more than 24-26 psi at the most. I run mine at 24-25 and 26 if I'm taking a long highway trip. The bigger the tire, the less pressure they require which is why you can't use the inflation guide you see on the inside of the door jamb.
And pay NO attention to the pressure shown on the sidewall. That is only the tire's maximum safe air pressure, it's never the correct pressure to be used on the street. Various weight vehicles require different tire pressures so since the same tire and size can be used on various vehicle weights and types, the single (max safe) air pressure molded onto the sidewall is never the correct air pressure for automotive use.
For bicycle and trailer tires, inflate them to the pressure on the sidewall, just don't do that with an automotive tire.