Yeah, sure, if we talk of our understanding of modern Western democracy. However, a parliament involves someone electing someone, i.e. a measure of democracy, even if there isn't universal suffrage. The Daleks were supposed to be stand-ins for the Nazis so that seems out-of-character for them. It seems to be kind of weird to introduce this new concept at the beginning of the episode without doing anything with it.
However, that was only one of the things that bugged me. All of these things together drag the episode down for me.