Updating the thread with my results. I was doing half batches using the following recipe:
6 crayons
3 - 10 inch 0.44 diameter hot glue sticks
a little bit less than 1/4 lb paraffin (Gulf) wax
I chopped it up, threw it into a tin soup can, and put it right on the glass top of my electric range on medium heat. It took about 5 minutes with intermittent stirring to reach total well-mixed liquid form.
After that it was a quick dip into the wax, a quick spin to get off some of the excess wax, then a quick flip of the bottle to let some of the excess drip down the side of the bottle to get that classic look you see on bottles of Dark Lord.
As I previously stated my problem was that using the crayon/glue combo looks gorgeous but I couldn't get the bottle opener to crack the top without serious effort. I was looking to thin down the mix so the spurs of the cap would stick out enough for the opener to get purchase on them.
Adding the paraffin successfully accomplished this. I can open the bottles without the floss/string or a knife or a sprained wrist. Also the wax comes right off of the bottle with no problem. The only downside here is that the wax is thin enough that any writing on the caps still comes through (as you'll see in the pictures I'll post later).
Also to answer a possible question in the future, I did this with these ratios 3 times with different colors. The exact amount of wax produced was enough to coat the tops of 30 bottles +/- 5 depending on how hot/cold your wax is (it goes on thicker if it's colder).
Hope this helps people out with some of the issues I was wrestling with!
Edit - pictures attached: