Rholmes69, I am very familiar with our red clay soil. I agree about it being too wet. When the soil can be picked up and squeezed and it does not make a clod or the clod crumbles after you squeeze it, it is ready to plant. Or when the soil can be knocked loose from your shoes with light stomping of your feet it is ready. If it sticks to your shoes or clumps on the bedder discs it is too wet.
I recommend tilling lightly to break as many of the clods as possible and letting it dry. the method Gary Fowler suggested is a good one. Till lightly, let dry, till again, let dry,till again. Those clods may take a year before they break up completely. You might get lucky with Tuesday's rain. It might break those clods.
From the looks of the soil some leaf compost and manure would be in order. I apply mine in the fall and till it in. The organic material helps prevent the clods. While my garden was a bit wet, I was able to plant on Saturday. The leaf compost and manure helped to keep the clods down. Additionally the darker soil will warm noticeably quicker.