Alcohol is fine, the degreaser you're using might be OK as well - depending on what's in it - hopefully no ammonia - but I definitely wouldn't use GooGone, Goof Off or any other solvent to clean those lenses! Polycarbonate is a very solvent-sensitive plastic and it doesn't tolerate NH3, terpenes or aromatics well at all. GooGone is made with citrus-based terpenes - and Goof Off reeks of xylene, which is an aromatic. Your headlights may look good for a while if you keep waxing them to fill in the surface imperfections but eventually the crazing will get bad enough that it scatters too much light and there's no fixing that - they will be ruined.

Anything gentle enough not to harm the plastic is not going to dissolve the remnants of the old clearcoat. So you have to sand those sections anyway. It won't take much longer to go ahead and sand the whole thing. Then polish and clearcoat and you're good to go for another ten years of sparkly, maintenance-free headlight bliss. The key is protecting them with a good UV resistant clearcoat. If you don't, you'll be re-doing the job in a couple years.