1. You don't change anything to the internals of the wiimote, so i guess you're free to connect to every bluetooth adapter.
2. You dont really sync a wiimote with the computer, you just use the 1+2 buttons. From what I've heard (don't own a wii myself) the 1+2 buttons make a second player connect to the wii in multiplayer games. So it's a temporary connection as far as i know;)
3. The IR led seems fine, but I wouldn't use it for fingertracking, because it's only using 29mA, and most of the LED's used for fingertracking use about 100-150mA. So unless it's an other technique, it emits less IR light:)
I dont know what the thinkpad will do, since almost every computer seems to be different, it's hard to predict if you should use bluesoleil or not. I think it's best just to try and find out;)