I put the question here and not in 'politics' because I am approaching the question from the point of view of whether Islam itself permits such a thing.
I could not find a specific fatwa on the question, but this one suggests to me that the answer is no.
Concept of democracy in Islam
Democracy is a system that is contrary to Islam, because it gives the power of legislation to the people or to those who represent them (such as members of Parliament). Based on that, in democracy legislative authority is given to someone other than Allah, may He be exalted; rather it is given to the people and their deputies, and what matters is not their consensus but the majority. Thus what the majority agree upon becomes laws that are binding on the nation, even if it is contrary to common sense, religious teaching or reason. In these systems legislation has been promulgated allowing abortion, same-sex marriage and usurious interest (riba); the rulings of sharee‘ah have been abolished; and fornication/adultery and the drinking of alcohol are permitted. In fact this system is at war with Islam and its followers.