Interesting developments and analysis:

UKIP under Farage, by comparison, concentrated more generally on the impact of immigration. So could we start to see more of a specific focus on Islam in the party’s rhetoric?

“It’s quite plausible,” says Rob Ford, a professor of politics at Manchester University and co-author of Revolt on the Right , a book on UKIP. “In some ways, if you just look at some of the raw attitudes, it looks like there’s a very big potential market for it. British views of Muslims are often quite negative, there are a lot of anxieties particularly around cultural practises, cultural integration and so on.”

The party is also in need of a new USP (unique selling proposition) after Britain voted for Brexit, and its old rhetoric on immigration was largely focused on the issue of unskilled immigration from the European Union. Assuming new restrictions are placed on freedom of movement once Britain leaves the bloc, that won’t cut it any more.

But, Ford says, there are caveats to this. First, under the U.K.’s first-past-the-post electoral system, winning even the 20 to 25 percent of the vote that might be highly concerned about Muslim integration is not a recipe for success, unlike in some European countries with more proportional systems.

But also Britain has, Ford says, “been ethnically, racially diverse for longer than many countries and we’ve been actively talking about it for a lot longer than many countries.

“Germany denied that it was even a country of immigration until the late 90s and in France they still won’t gather statistics by race… We’ve had 50 years of discussion and work in terms of setting up and policing certain boundaries of political rhetoric,” Ford says.

An ongoing row in France, and Duffy’s response to it, illustrates his point. Fifteen towns on the French coast have moved to ban the “burkini,” full-cover swimwear worn by some Muslim women. When asked about the bans, Manuel Valls, the country’s prime minister and a politician on the mainstream center-left, responded without hesitation that the burkini was “not compatible with the values of France.”

Duffy [UKIP leadership candidate], by contrast, doesn’t even back the ban, which she calls a step too far. “If a motorcyclist sat on the beach and he wanted his helmet on, that’s up to him. He might sweat a bit. But I’m not going to prescribe what people should or shouldn’t be wearing,” she says.

Duffy says that her policy on Islam is aimed at boosting equality for Muslim women as much as anything else. “I’ve worked with a lot of British Muslim females and they haven’t had the same opportunities that I’ve had or my daughters will have,” she says. Of course, plenty of politicians with far tougher anti-Islam platforms make the same argument.

Still, however cautiously, the issue of British Islam has been forced higher up UKIP’s agenda, and it’s hard to imagine it won’t stay there in some form. UKIP is, Duffy tells Newsweek, “unique as a party in talking about challenging issues and opening the debate. And I think if we don’t start talking about the potential of what radical Islam can do to our country moving forward then we are missing a trick.”