I have Public Enemies that I picked up as play skis last year, and thet quickly became my primary ski. They really are a great all-mountain ski and can take a lot of speed and high edging. I had them mounted +3 cm, so keeping a good forward stance was key, but they were truly great in hardpack, long radius turns, short radius turns, switch skiing, general screwing around on snow they never complained and always had a great feel on the snow. Moguls, no problems again, they were just as at home in the bumps both in glades and on bump trails, as they were on the groomers. Crud, they had an interesting flex, actually felt somewhat progressive, they were initially kinda soft flexing, but the more you flexed the ski the stiffer it got (at least that's how it felt), now how does that relate to crud? Well, if they were trying to "float" over the crud, you could, but sometimes if you were on edge, it felt like the edge would lose its hold, but it was not a bad ski in crud by any means. Now ice is a different story, they weren't too suited to ice, but would hold. They were easy to control on the ice, and gave you a lot of feedback, just don't expect them to grip like a race ski. The only time I had problems on ice with them was at Cannon, well known for its ice, but I also hadn't had them tuned in quite a while.
Basically, I love em, they were a much better ski than I had anticipated them to be. There are a couple fellow instructors that tried them and they also loved em. And after a little convincing, my brother tried them in Whistler and didn't want to give em back to me. He skied them catskiing in "bottomless" powder, and absolutely loved em, so much so that when we got back he got a pair and had them as mounted as identical to mine as possible.
Now I am PSIA Level III/ISIA certified, and ski mainly East Coast ice, man-made, and "packed powder" conditions. The bumps I ski are typically fairly tight, fairly technical bumps on black diamond or higher terrain. These were also my primary ski on vacation in Whistler.
Now I have not skied the 1080, but I know there are a few on here who have, so I'm sure they'll have some responses.
A couple key difference between the two skis, side cut is different, the 1080 is a foam core, spaceframe (cap) ski where the PE is a wood core, sandwich construction sidewall ski.