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Lynxis I was in a very similar boat in January of last year, felt like I could still learn more on the Primacy but felt that I was due for new tires after 30k miles and a handful of events. Ended up buying some ZII SS in OEM size and while they certainly added to the ceiling and I definitely underperformed the tires for awhile they are definitely not 'too much tire' for the car. Once you trust them and find the edges of grip you can certainly explore the limits comfortably, they communicate rather well and once you find a suitable air pressure the consistency throughout a session is nice.
Last I checked ZII and RS3 were both cheaper than the Primacy in OEM size, while it may band-aid your bad habits for awhile you'll get used to them and start learning again soon enough imo.
I'd say either jump up to good street tires like you planned or pick up a set of tires someone is trying to get rid of locally to get some cheap education out of 'em (shipping costs probably not worth it though):
http://www.ft86club.com/forums/showthread.php?t=96248
http://www.ft86club.com/forums/showthread.php?t=96115
http://www.ft86club.com/forums/showthread.php?t=95623
Burn the tires up and sell the wheels to a guy who wants 'em for his Prius or TC.
Edit: @
CSGMike AD08R is an 'easier' tire to drive than RS3? I assume the RS3 has a bit more durability to it which explains why you prefer it?