Wait since when is there a right-wing dictatorship in China???
People vary with their interpretation of the exact dates, but in general, most would agree it was prior to your birth, and I don't say that in a snarky ageist way - just that you've known nothing but capitalist China.
Sure the Chinese Communist Party isn't really communist at all anymore, but would you really characterize it as "right wing"? (Or is it "fiscally conservative but socially liberal!!"? 
) The Chinese government strikes me as largely non-ideological bureaucrats who just want to stay in power.
There really is no such thing as "non-ideological". The CCP is heterodox and employs a lot of doublethink but in effect it acts as a right-wing organisation. There's a reason they're so close to the KMT nowadays.
It's hard to say because it's unclear what the alternative would be if the CPC fell. Their nominal rhetoric is certainly still left-wing, and their suppression of religion, family planning policies, and pro-Russia/North Korea stance are left wing. The last bit is a reverse from the Deng years.
Someone who advocated democratic reform and Western values would be considered on the far right in China's political spectrum.
In some ways it combines the worst of the left and the right. They're close to the KMT because the KMT is more anti-independence than the DPP, not for ideological reasons.
