I would cut enough of the wax from the jumbo seal and set the toilet with no plastic horn. Draw the bolts down just less than snug and then look to see where you need to shim. Snug the bolts some more, shim the gap and finish tighten the closet bolts. Then I would mix up some Real tile grout, not caulking, and wipe it in with my finger and finish wiping and cleaning with a piece of cotton cloth and or a sponge. That will give the toilet a good firm base and not allow any wobble.
At this time you can remove the shim and finish with a little more grout.