It won't be on the floor...just the walls, so the chickens shouldn't be able to mess it up too bad. I just know that there are a lot of little drafty places in the coop and it seems that the carpet would block all those up nicely. I plan on putting the fuzzy side towards the walls...so all that would be showing would be the rough edged side. If it doesn't work out I'll just rip it out. 
I need something up there...Our rooster's comb and wattles look terrible. He keeps getting frost bit. We have fair ventilation under the eaves on each side, but where the roof is metal it gets condensation on the inside of it...I guess in spring we could try to cut some vents in the roof and then cover them...that would help with the condensation surely...There is just not a lot I can do with the weather the way it has been, but I don't want my rooster to lose his comb totally before spring gets here. I don't see that it would be too different from any other insulation I could possibly put up, and is it not possible that perhaps the eave vents aren't working as well as they could because of the little cracks and such here and there? Either way we'll see. I am not the first to have and utilize this idea. I think that it won't be too bad as long as the chickens can't get to the actual pieces of carpet at all it will be alright...with the backings facing in there won't be a million fibers catching all the dust and such. I'll take pictures as I go and we'll just see how it goes I guess... In my head it seems like the most awesome idea ever... but I have had this happen before, and the idea not really been that great as a concrete thing...even though it was a great mental image.