That's pretty dumb to say considering Obama's speech at the 2004 convention explicitly pointed out he was half-black in reference to America's cultural melting pot and that his mother was a white woman from Kansas. He even says in his memoir he was raised by his mother and her family and later set out to find his father's side of the family.
It's not the fact of being liberal or conservative or being half-black or whatever. The real issue that conservatives are ignoring is that Republicans just don't have qualified black Republican politicians who are willing to run for President, who also aren't stupid or crazy. Random television personalities and Tea Party activists just won't cut it, that's setting the bar way too low. Their best chance was Colin Powell in 1996 or 2000.
There probably won't be a black Republican President for quite some time either. The GOP would probably be better off trying to recapture the Latino vote that they held a significant chunk of during the Bush years and pushing for the first Republican Latino president because in that area they do have a number of qualified candidates including Susana Martinez and Brian Sandoval. Maybe even George P. Bush, twenty years from now.
Do you really think many Democrats watched or even remember his 2004 speech? I'm willing to bet most of his base is clueless about his history or background. Again the way it's looked at is how much will they do for the black community and Republicans just don't know how to talk about that in ways that make sense to people. I should run for president because I'd be able to reach out to them. That is until the media exaggerated a story into a scandal because I'm a Republican. I better not give my dog a bath outside.