There are few people who will not relish the opportunity to join the people of Oldham in giving Nick Clegg a metaphorical bloody nose at the ballot box. And opportunities aplenty will soon be upon us: local government polls, elections to the Scottish parliament and Welsh assembly, and, the biggest prize of them all, the chance to vote down Clegg’s beloved AV referendum in May. It was the prospect of attaining it which lured Clegg into his alliance with David Cameron last year. What sweet justice to hoist the Liberal Democrat leader on his own referendum petard.

There will, though, be many, better opportunities to give Clegg the drubbing he so richly deserves. The referendum on AV is the wrong fight. Wrong for Labour, wrong for British democracy. The only winner from a defeat for AV will be the Tory party.

Many hope that a defeat for AV will so fatally wound Clegg that it destabilises, maybe even destroys, the coalition. But this is a false hope. There is little evidence to suggest that Liberal Democrats would revolt against Clegg – possibly triggering a general election – if the vote is lost. The weakness of the Liberal Democrat rebellion against tuition fees suggests these turkeys are not about to vote for Christmas.

But isn’t AV simply not in Labour’s political interests: would it not reward the Liberal Democrats by ushering in an era of continuous coalitions in which they would inevitably play kingmaker?

This argument presupposes that first past the post protects Britain from hung parliaments. But, as the recent ippr study The Worst of Both Worlds: Why First Past the Post No Longer Works argues, the sharp drop in the combined share of the vote for Labour and the Conservatives since 1970, and the increased support not simply for the third party but for a range of smaller parties (who, together, polled nearly 12 per cent of the vote last May) means that ‘it will be more difficult for a single party to win a majority, making the prospect of a hung parliament greater in the future.’ Retention of first past the post is thus no guard against the Liberal Democrats wielding a disproportionate influence.

From a narrowly partisan perspective academic assessments of each of the elections since 1997, including 2010, suggest that Labour would have secured more seats than it did under first past the post. In 2005, for instance, Labour’s majority would have been over 100 (instead of the actual 66).

The real losers under AV would be the Conservative party: in every election since 1997, again including 2010, they would have secured fewer seats than under first past the post. It is unsurprising, therefore, that the national ‘No to AV’ campaign is being overwhelmingly staffed – and funded – by those with close links to the Conservative party, and its anti-tax and anti-European allies. They know what some in the Labour party have yet to realise: that AV could open the door to Britain’s progressive majority – and let’s not forget that since the 1990s most Liberal Democrat voters’ second preference was Labour – securing the representation to which it is entitled. No wonder, too, that the BNP is so hostile to the introduction of AV; it has correctly assessed that its already-slim chances of winning seats in the House of Commons would be totally snuffed out.

AV also offers other less tangible, but equally important, potential gains not simply for Labour but also for the health of British democracy. As the ippr report indicated, the current playing field on which elections are fought is extremely narrow: last May’s election was determined by fewer than 460,000 voters – 1.6 per cent of the electorate – in just 111 seats. The lack of trust, and feeling of disengagement, that too many Britons feel about politics cannot be disentangled from this fact.

By allowing people to cast a second preference vote, AV will make redundant the ultimately frustrating process of tactical voting, thus providing the opportunity for local parties – particularly where Labour is in third place – to engage with voters without having to counter the familiar Liberal Democrat charge that they risk ‘letting the Tories in’ or that ‘Labour can’t win here’. And, by forcing MPs to win the support of 50 per cent of voters, AV will also end what the ippr terms the ‘campaign-free zones’ which characterise many, though by no means all, ‘safe seats’.

The chief characteristic of the No campaign thus far has been confusion: attempting to conflate AV and PR, ascribing to the former many of the worst features of the latter. By creating confusion, they hope fear and inertia will allow them to win the day. Perhaps most pernicious, though, is the charge that AV – the simple ranking of candidates by preference – is somehow too complex a system to introduce. Of all people, progressives should have greater faith in the intelligence of the electorate.