No. You're wrong. She has been serving on both committees. Barton is retaliating for Wilson standing up for conservative principles (full disclosure of Medicare costs). Just because he's TX Republican, doesn't mean he's a political genius.
Barton is making it clear that his political aspirations are more important than conservative ideals and what's best for the party.
How am I wrong? True, she has been serving on both committees, and now she can't unless other Republicans overrule Barton.
But he did not kick her off the Armed Services committee. He wasn't even able to kick her off of HIS committee. Just read the story you yourself posted.