I played this very same combo in our game on Thursday, then the Limp Wand supply was exhausted before I got any.
Which raises a question, if we have access to 2 sets of limp wands or wild magics, should supply include both or is this an intentional limiting factor?
It *IS* an intentional limiting factor. You should not include both stacks of stuff like limp wands or wild magics, even when say, fully combining the main decks.
That said, that is only the “recommended” experience so you can of course go nuts however you please.