Yeah mine does the same thing. I have posi on the rear axle and the slightest touch on the gas pedal on a slick surface starts the rear wheels spinning. They spin real good on dry pavement too .
One time, I got stuck playing around on some ice where the water had frozen on a parking lot. I couldn't move, because the rear wheels were spinning even at idle. I had to push the emergency brake down about two of three clicks to put just enough brake pressure on the rear wheels to stop the spin and let power go to the front axle.
I have had to use this emergency brake trick twice, when I got stuck in extra soft sand on the beach. I got stuck then because I took my foot out of it and the tires sunk. I don't know if this trick will work in mud or not. It should, but I don't take my beautiful Chevy in mud, that is what my old rusted out Bronco is for.