Nope. They'll ignore it.
Probably. If need be, it can always be spun. Like so:
"Small-minded conservative provincials offend dog-eating cultures with their insensitive remarks."
Or,
"Fear-mongering Republicans spread rumors that Obama wants to eat our pets."
Or,
"We've seen horrible racism from this Tea Party movement before, but they're now saying that African-Americans eat dog. Shocking video when we return!"