The Australian Tea Party

The 27-year-old ''poster child'' of the One Nation movement did her campaign no favours in an interview with Channel Seven on Wednesday night, mistaking Islam for a country, confusing haram with Koran and drawing a blank on the nationwide disability scheme.
(Sydney Morning Herald)

The difference here is that in a parlimentary system you can have many parties (instead of just two), so our Tea Party types form their own parties (almost all of which have the word Nation in them). The Coalition (as the conservative political branch is called here) gets to separate itself from the nuttier wackos, who run under their own party banner; but they can still count on them for votes when it comes time to govern.

Of course, the problem in America is not that the Tea Party can't have a distinct identity from the Republicans; it's that the conservatives can't count on the whack jobs for votes anymore.