Some of my follow-up thoughts based on some of the comments here:
There are different types of democracy and my understanding is that we live in a Liberal Democracy, a form of Representative Democracy (in which we elect representatives). This means that it's subject to the rule of law. It also emphasises the protection of the rights and freedoms and places constraints on the extent to which the will of the majority can be exercised against the rights of minorities. This includes believers and non-believers alike. In other words the majority can't have their own way at the expense of the minority, especially if it's in breach of the law. An idea with illegal ramifications remains illegal whether a majority subscribe to it or not.
Referendums are predominantly part of Direct Democracies where citizens actually take part in decision making themselves rather than use elected representatives. Representative-Liberal Democracies like our own do occasionally incorporate certain of these elements, such as referendums. So it's not as simple as just saying 'well this is what the majority want'. The common element, as far as I can tell, that ties all of the different forms of democracy is that all eligible people have an equal say and an opportunity to freely and fully participation in the decisions that affect their lives.
Anyway, in the UK, which is of course where I'm referring to, the religious do not seem to be the majority, at least not in any meaningful sense. For example, a poll conducted by YouGov in March 2011 on behalf of the
British Humanist Association, when asked the census question ‘What is your religion?’, 61% of people in England and Wales ticked a religious box while 39% ticked ‘No religion’. However, when the same sample was asked the follow-up question ‘Are you religious?’, only 29% of the same people said ‘Yes’ while 65% said ‘No’, meaning over half of those whom the census would count as having a religion said they were not religious.
Likewise, less than half (48%) of those who ticked ‘Christian’ said they believed that Jesus Christ was a real person who died and came back to life and was the son of God. Asked when they had last attended a place of worship for religious reasons, most people in England and Wales (63%) had not attended in the past year, 43% of people last attended over a year ago and 20% of people had never attended. Only 9% of people had attended a place of worship within the last week. Furthermore, these numbers appear to be rising.
Secularism isn't about taking away people's religion or beliefs it's about keeping the state and 'church' separate.