Doubtful. Ignoring Ann Coulter is like ignoring Rush Limbaugh...you can do it, but I wouldn't advise it if you're a republican.
You can't possibly be serious. Bones is a female Michael Weiner. She only wishes she had the influence Limbaugh does.
If you remember, she pissed and moaned about John Roberts, and Bush (and just about everybody else) ignored her.
Rush said that the Dubai Ports deal should go through (as did I) and Bush ignored him.
I don't see that it made any difference to Bush that he ignores either one of them.