I can imagine they might. Pardon me if this is disjointed, I'm pasting-in from something I wrote elsewhere...
It's about democracy, and the lessons of the Scottish referendum, and subsequent elections in Scotland. We've had the chance to vote meaningfully, twice in a short number of years, while in England, only a single time. It divides an electorate into 2 camps, each deeply entrenched. The Leave side are quiet right now. Just waiting for free movement to end, and sovereignty returning to Westminster.
In Scotland, the first election after our referendum, the nats said they respected the result, and a vote for them wasn't a vote for independence. They almost cleared the board. 56 out of 59 seats. In the 2nd election, (Scottish Parliament), they made a manifesto commitment to another referendum, in the event of a Leave vote. They failed to win a majority, forming a coalition with the Greens. By the third election, we'd already had the brexit vote and the 2nd referendum had been asked for. They lost 21 seats, and 1/3 of their vote share. I view the mechanism for the swings as a willingness among No voters to change parties to achieve their goal on the independence question. Anti-independence voters left their usual parties to vote for whoever they thought most likely to win apart from SNP. It became less about parties, and more a re-run of the referendum.
But, in Scotland, you had one independence party, with the 3 main Westminster parties stacked against. In England, you have the 3 Westminster parties officially pro-EU, with only UKIP officially against. If we deny brexit at this stage, Leave voters have nowhere to go except UKIP. If you create a situation where UKIP takes 1/3 vote share from each of the main parties, they'd likely find themselves in government.
(this was written recently, but before I became aware of a possible Farage party)