Water softener removes some "hard" ions such as calcium and magnesium, and replace it with sodium, a "softer" mineral. I think you want to put the RO before the water softener, not after. The extra sodium in the water after the softener may not be a good thing for the RO membrane.
Now, IL has good, soft water. Why do you have the softener? Is the water from well, instead of from the Michigan Lake?