Dame Pauline Neville-Jones said it is vital to have "a frank and robust debate" about the responsibilities of the Muslim community in helping to prevent extremism.
Reacting to criticism of remarks made by the Conservative leader, David Cameron, and also of her policy group's report on national security, Dame Pauline said: "I think it's very important if you start engaging in a dialogue, to continue it.
"When my report came out, things I - or some of the things I said - were not at all welcome to the Muslim Council of Britain. And I said right, let's talk.
"But what you can't do is make a whole series of statements, make an analysis and then back off and say, well I'm not going to say any more. And not going to talk to you.
"We need to talk to each other."
Dame Pauline told Tim Donovan: "It's not demonisation to set out the facts, and quite apart from the terrorists, there is a group and there is a stream of propaganda you might say, but certainly ideology, which is pumped out inside the Muslim community, which says in effect, you as a Muslim want to separate yourself from this society.
"Because actually, it's not a particularly good society and what we want as a group is a carve-out, within the United Kingdom.
"Now that's not what's needed. What is more, you can't, I think, accept if you want a liberal, tolerant, democratic society, that people are allowed to use the freedoms of that society to undermine its values."
Dame Pauline is a former Chief of Joint Intelligence Committee and is also the Chair of the Conservative Policy Group on Security.
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The Politics Show Sunday 04 February 2007 at 12.00pm on BBC One.
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