Caterpillar/cocoon ID (Dallas, Texas)

Hi! Google image search says this is a Luna caterpillar so just wanted to confirm. We saw it going up the side of our house on Monday evening, then it spent all day yesterday making this cocoon in the corner of our front door frame. A few questions: is it hibernating? or will it emerge (in December)? It's starting to get chilly here overnight (lows in the 40's F/single digits C), should I just leave it alone outside, or try to take it down & keep it somewhere (fridge)? Thank you!

https://i.redd.it/dks8kvlc6o0e1.gif