Wow.. ok, after seeing those pictures I'm a bit worried now. What bothers me is how distorted the reflections are in those pictures.. The paint looks heavily oxidized. It might not be fixable by hand afterall..

You might be able to hack through it with a rotary, but you'd have to consider whether it would be worth it. If you let the car get to this point, chances are you might not change your habit to prevent this from happening again, and you'd be back at this problem again within a year, but next time around it would be with a thinner clearcoat. I'm not blaming you at all, of course; everyone has their own priorities and limitations, and sometimes you can't help where you park.

Without seeing the car in person yet, my current recommendation is to just make the best out of it by hand polishing. The clear looks rather weakened, and if it were my own car, i dont know if i would go through with complete stain removal via rotary.