A week ago I was following a guy on a 1200 GSA and another on a KTM 1290. They were on street tires. I was on my 1200 GS with a TKC 80 front and Shinko 805 on the rear. They were slipping and sliding all over the place. Then we got into gravel that had been freshly laid and was about 2-3" deep! They were REALLY fighting the bikes to stay in control. I had to pass them to keep from running over them so I could keep a speed that made it easier. The tires made all the difference in the world. It is even more true if you get into sand/silt!
I started my dirt riding career after nearly 100K miles of street riding experience. It took me a long time to get comfortable with the bike moving around and sliding when riding on the dirt. I still have front end trust issues... It didn't help that I started on an 1150 GS, which weighed in over 600lbs with gas, bags, bash plate, guards, etc,... That made me learn some bad survival habits. I moved to a KLR 650, which was way better, but also had me learning bad habits. Finally, I got a KTM 530. Rather than fighting the bike, I was now working with the bike. I had to unlearn bad coping skills and learn good riding skills. It hasn't always been easy, and too many times it actually hurt! However, it has been a LOT of fun. I find that now when I ride my 1200 GS in dirt, gravel, sand, I have much better control and confidence than I ever had on my 1150 GS or even the KLR. I still don't feel as relaxed and smooth in the dirt as I do on pavement. I am still learning and overcoming commitment issues (the ability to commit in the dirt is VERY important).
I totally get that dirt riding is not for everyone and can easily understand wanting to stick to the street. BUT, if you find that you still have an itch after you sell the AT, my advice would be to look for something like a DRZ400. Small, cheap, and not too heavy, it is a good reliable bike on which to learn proper riding skills. Even something like a Honda CRF230L would be good. I'd even recommend a class like the one UlyBrad teaches. I have done a similar class and have also just learned a TON from other riders. As much as I like my KTM 530 EXC, this weekend I was made to understand that even it is a bit of a pig on sandy forest trails... Now I want a nice light two smoker for trail riding