Not sure what to tell you. With 3000 miles on the RT, unless there is something physically wrong with the bike (along the lines of what akspyderman suggested you check), you SHOULD be feeling very confident on it by now - even in tight turns. I don't want to insult you with what you probably already know, but I'll go over "the basics" again, just in case you missed something....
1.
Read this thread. Lots of pointers in there.
2. Don't grip the handlebars too tightly. Relax your grip.
3. As with a motorcycle, if necessary to slow or brake for a turn, do it before you enter the turn. Then accelerate out of the turn once you are past the apex.
4. Also, as with a motorcycle, keep your eyes where you want the bike to go - don't look at the road right in front of you.
5. Look in your owners manual for some excellent tips on how/where to position the bike in a turn.
The following two procedures are different from a motorcycle and are done on every turn. The faster you do the turn, or the tighter the turn is, the more you do them... (On an easy turn, these actions may be barely noticeable, but you still subconsciously do them.)
6. Lean into the turn. Also it helps to lower your center of gravity by leaning forward and down. Think of this as "trying" to lean over the handle bar toward the turn.
7. Put pressure on the side of the bike with your leg, in the direction of the turn. Both this and the point directly above are intended to counteract the centrifugal force trying to push you to the outside of the turn.
If you are sure you are doing everything above, and you are still uncomfortable after 3000 miles, then I would suspect something on the bike needs attention. (Again refer to akspyerman's post above.)