Hello 1 Led Zeppelin, & welcome to the Forums.  If you've just joined the NAFC, then welcome to the Club, too.  You'll like these Boards.  A lot of good guys here.

You can use a spinning reel for muskie chasing.  You can use a baitcaster.  You can use a sidecaster.  You can even use a spincaster (the Zebco 808, 888 or saltwater Zebco Brute).  Heck, there's guys that even chase them with saltwater fly equipment!  It's all up to your own personal preference.  I'd say if you already have the baitcasting reel, put it on the heavy-duty rod & save yourself some scoots.  But if you want to match equipment "correctly," go with the method you prefer.  If you prefer spinning tackle, get a big spinning reel that can handle heavy freshwater/light saltwater duty.  If you'd rather use the baitcaster you already have, get a matching rod.  Personally, I would go with baitcasting for muskies, but that's my preference.  The only hard & fast rule is fishing has to be fun.  If you have more faith & confidence with spinning equipment, & you think you'll have more fun with spinning equipment, by all means get a heavy-duty bail reel.  Like I said, it's up to you.  You're the man.

And again, welcome.