Tires tires tires. You need the right tool for the job.
If your tires are not keeping contact with the ground, you may have your dampers set too stiff/slow/tight. The entire job of you suspension is to keep the tires on the ground. I would not blame bad wet traction on suspension stiffness, but it is something you need to address anyway. If you do have a suspension problem it can be more obvious in bad weather. Get your shocks working and tires that perform in the conditions you use them.
Make everything as simple as possible, but not simpler. Albert Einstein