The former adviser to Nigel Farage wants UKIP to focus more on Islam.
Party is searching for a purpose after Brexit.
Woolfe announced Wednesday he would contest the party leadership following the resignation of Diane James.
UKIP's new leader James quit Tuesday night after just 18 days.
Diane James takes over from Nigel Farage.
James had the backing of key Farage allies including donor Arron Banks.
Duffy will say everyone should be made to show their faces.
Nigel Farage's old party has a remarkable talent for setting itself on fire.
'That doesn't mean I am picking on British Islam,' the councillor said.
Woolfe said he "forgot about" a fine he'd incurred years before standing as PCC for UKIP.
The Brexit vote supposedly settled Britain's "European question," but also questions about English nationalism.
Less than 6 percent of the U.K.'s Poles plan on leaving.
UKIP has been dealt a good political hand this year. Now it's up to them to capitalize on it.
Farage's departure comes at a time when unity is sorely needed in British politics.
Farage has campaigned for the U.K. to leave Europe for 25 years.
Polling veteran Peter Kellner cautions against making an absolute referendum prediction.