A wonky saw is a wonky saw.
The obvious compromise is to use the table saw to hog out the waste, but do the edges of the joint (the shoulders) with knife and chisel in the traditional way. If I am doing lots of the same sort of joint I'll do precisely that but using my radial arm saw rather than a table saw. Cut the marking-out lines with a knife, then start say a kerf inside the lines and do repeat cuts to remove the waste, then chisel back to the knife lines.