Slight disagreement with Pete. In my experience, KT-22 gets pretty crowded on the weekends. When it does, my secret is to head over to Silverado, which is my favorite part of Squaw. It's always lightly trafficked -- I don't think I've ever waited even a dozen chairs at the bottom -- full of steep lines and un- or lightly-tracked snow, and the chair even has a foot rest. It almost feels like a whole other mountain.
OP, you haven't told us where you're staying. Given the forecast for this weekend, you will not want to travel between North and South Lake. Heavenly and Kirkwood should be a good mix, as would Squaw and Alpine... but don't mix and match across the divide. If you go North, I'd suggest Alpine on Saturday and Squaw on Sunday if it looks like crowds may appear.