Ok, I have a few vines that are all dead now after a frost..
Should I just let them hang out and decompose? Or should I cut them down?
Cut them. Compost and mulch the mounds and let em sleep through winter.
Maybe check the soil pH and amend as needed.
Cut the bines off at the ground and compost or burn.
Remember one unassailable statistic, as explained by the late, great George Carlin: "Just think of how stupid the average person is, and then realize half of them are even stupider!"
"I would like to die on Mars, just not on impact." Elon Musk