Why do you think liberalism is one-to-one with voting, as though no other political philosophy can have voting?
Marxism is anti-liberal, definitionally. Yet, all historical Marxist movements, including the USSR, have had voting of some form or another. What they don't have is party politics, instead replacing parties with factions. And for good reason. But if you refuse to believe voting matter without multiple parties, then there's no use in discussing anything other than that specific false belief until we disabuse you of it.