Found the answer! Stop using the crappy window cleaning products from the Dollar Store and get Windex (or equivalent). Also, microfiber towels look and feel great but don’t seem to have the water absorbency of cotton.
I recommend the non-ammonia version of glass cleaner. Windex makes one, it'll say right on the bottle. There are others, too. It isn't really an issue for glass but the ammonia over the long term is hard on plastics when you get a bit of collateral misting, which is pretty much guaranteed to happen, or if you intentionally use it to clean things like the console surface.
I would still recommend using the microfiber towels, just the higher weight ones when you are looking to soak up a lot of liquid. For example:
Autofiber Microfiber Car Care & Detailing Products They look a bit expensive but if you wash and dry them correctly they'll last you for years.
That said microfiber isn't quite as crucial on glass, as it is a relatively forgiving surface because of how study it is. It's just that the microfiber will work better at picking up dirt, and when it's fairly clean glass to start with because of a recent thorough cleaning you can even use the micro cloth dry and it'll suck up most of the dust (where as the cotton is just as likely to leave as much of its own fibers as it picks up).