Well, I’m going to answer my own question here. I basically wrapped all of the lines with the $ in it with the following function:

jQuery(function ($) { 
  // code goes here
});

Everything is working now. Please add this to your code so it won’t break my site next time you update.

Just for reference in the quiz-editor.js file, lines 937-939 and 974-978 need to be wrapped. Also question-editor.js lines 261-263 and 298-302 need to be wrapped.

Thanks Ken!
I checked your GitHub earlier and it looks like someone already created a solution for those two files, albeit two different ways of fixing it in those two different files.