Cold air coming in

As long as the doors are closed no air can come in. Many overlook this cold air flow right through the steering column. Sounds like your plastic column shield came off. Notice the one picture the column doesn't have the plastic on where the diamond holes are exposed. This air will hit you right between your legs. especially if the foam seal is gone at the bottom.

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And heat in the summer time. My 66 was like a blast furnace until I rebuilt the column.