My feet sweat like mad. Here's my tricks to dry my foot gear out; If there is no snow and temps are above freezing, I fill my boots up with dry leaves. There is also setting boots near a fire to warm and dry. If you want to do it quickly take out the liners and "roast" them over the fire (keep them well away from the flames of course). Once dry I put them in my pack.
I have an over sized thick pair of socks that I only use for sleeping. When I take off the socks that I was wearing all day, I put then in my long-johns and let my body heat warm and dry them. If they are soaked I hang them up to freeze over night, the next morning I beat the ice crystals out of them and shove them in my long-johns to let my body heat dry them. Once the fresh socks from the morning become damp the socks in my long-johns should be dry.
If I know I wont have any opportunity to dry my boots or feet in winter, I bring my bunny boots. They keep my feet warm even if my socks are wringing wet. I also spray my feet with antiperspirant to minimize moisture.