I think that the key to this issue is your statement, "I know I can play these solos but I look like a complete idiot when its my time to play them."  It sounds like you are focusing on you, and how your will appear to your audience.  Instead try to think only of the music, and how you want the phrasing and tone to sound.  You need to make your solo less about you, and more about the music.  Just focus on making your solo blend coherently with your group.  A side benefit is that your fellow musicians will notice, and generally, their playing will often improve as well.  Then you will realize that the music you are playing is as much for the you and your bandmates as it is for the audience.

Hope this helps!