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.