"We will no longer tolerate your behaviour. We will expose your hateful beliefs for what they are. Where you seek to spread hate, we will disrupt you. Where you break the law, we will prosecute you. Where you seek to divide us, we will stand united. And together, we will defeat you," said UK home secretary Theresa May.
The UK will no longer tolerate the behaviour of Islamist extremists who "reject our values", May said.
May laid out plans for "banning orders" and "extremism disruption orders" as part of the Conservative party's crackdown on Islamist extremism.
The "banning orders" for extremist groups would make it a criminal offence to be a member of or raise funds for a group that spreads or promotes hatred. The maximum sentence could be up to 10 years in prison.
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She added: "We will introduce extremism disruption orders, which are civil powers to be used against individual extremists who incite hatred."
May said extremism could not be ignored or "wished away" as she outlined the list of policies the Conservatives would bring in if they win May's general election.
The senior Cabinet minister said a future Conservative government will commission an independent review into the operation of Sharia courts in Britain.
Her new proposals included giving the National Health Service (NHS) new powers to detect extremism, adding a promise to "respect British values" into visas and creating a new "Helping Isolated Communities" fund.
Some of the other measured unveiled include a new "extremism officer" roles in prisons to deal with extremist inmates and gangs; a "full review of citizenship law" to make sure successful applicants respect British values; and a "sharp reduction" in funding for translation services and a "significant increase" in money for English language training.
In light of a number of schoolchildren being radicalised in Britain's schools, she also announced a review of supplementary schools which may be currently unregulated and a "positive campaign to promote British values".