The green light won't affect the flowering but I doubt it can kick up the temp much either. One winter in my greenhouse... we had to get over a strong frost wave.... but that's all we get down here... two or three days of cold and then it's back up.
I placed my plants in the greenhouse and set up metal tubs and built a big bonfire for a camp out that night. As the night wore on, I simply borrowed coals from the bif fire and dumped them in the tubs..... kept that greenhouse toasty all night.
Not a long term solution tho...
U really need to heat that enclosure if you want to keep those puppies really growing.