I flip my pillow (feather, since the others are too hot for me) too. I like the room to be cool, then I like to snuggle under a top sheet and blanket (plus a comforter if it is really cold in the room). I don't like to sleep with my feet out from under the covers, but I will stick them out now and then, looking for a cool spot. I pull the covers back from my legs or arms as needed too. Not only do I flip my pillow, but I am a regular whirling dervish in bed. Most of the time I can flip without messing up the sheet and blanket, but sometimes I wake up to find the top sheet has twisted into a tight, thick rope! Don't ask me how I did it because I couldn't tell you, but a week or so ago I somehow managed to flip the top sheet completely over, without disturbing the blanket and comforter! James couldn't care less about a top sheet, and since we tend to pull the covers off each other when we turn, we solved that by each having our own blankets. Same bed/separate blankets.
I used to have a cat who liked to sleep on top of my hip, waist, or shoulder as I slept (fortunately she was small!). She was used to me flipping over all night. I always said she would have made a good log-roller!