The way I see it, roleplaying as a furry who appeared without a very good explanation will get people slapped.
However, 1950's science fiction comes to the rescue and we can safely say that some kind of experimental fusion SNAFU has caused the character and some random dog to become fused somehow, not die from shock, or otherwise go insane before being put down humanely (or kept for study).
The issue with furries was that they appeared with a token backstory involving human error or cosmic rays or something.
However, are clearly deluded individuals (I have successfully roleplayed as a Lawl's Syndrome infectee) who believe they are furries, and use badly done photoshopping to look like furries acceptable? Insane people get in cars all the time (usually directly in front of or behind me) and nobody bats an eyebrow. Why not space vehicles?