Jumping out of 2nd gear is a well-known problem with the big XS's. My 750 is just starting to suffer from it too. With the big torque of these bikes (especially the 1100!) some people just learn to ride round it and change straight from 1st to 3rd.
Relacement parts are difficult to get hold of and very expensive but there is a fix which involves using a grinding wheel to reprofile the gears. It's a major stripdown job but you don't need to take the engine out of the frame.
There's a lot of info on the net, but I would recommend the xs11.com site.
Good luck!