I fixed this on mine. It was an ordeal. I ended up completely sacrificing the tilt spring because I could not get it back in correctly. Doesn't affect the way the wheel tilts, you just have to physically move it up, it doesn't fly up on its own when you pop the tilt. Also, getting the pins at the bottom out can be a pain. I broke the tool off, so I really had fun, but I got my wobbly tilt fixed.
Take the opportunity to tidy up or replace loose turn signal mechanics as well.
Read the article suggested posted above. It will help. You do need some specialty tools to get the job done. Some you can rent from your local parts store, and one or two you'll have to buy. Good luck!