The home secretary has vowed to "systematically confront and challenge extremist ideology" as she detailed new curbs on those who "spread hate".
Radical preachers will be banned from posting material online and anyone with convictions for extremist activity will be barred from working with children.
Deradicalisation classes will be made mandatory for others deemed a threat.
But Muslim leaders warned the strategy "continues down a flawed path" and risks "alienating" Muslims in the UK.
Also among the measures within the counter-extremism strategy are:
# A full review of public institutions such as schools, further and higher education colleges, local authorities, the NHS and the civil service to ensure they are protected from "entryism" - or infiltration - by extremists
# An official investigation into the application of Sharia law in the UK
# Extremism disruption orders to stop individuals engaging in extremist behaviour
# Closure orders for law enforcement and local authorities to close down premises used to support extremism
# Tougher powers for broadcasting regulator Ofcom so action can be taken against radio and television channels showing extremist content
# Demands that internet service providers do more to remove extremist material and identify those responsible for it
# Anyone with a conviction or civil order for extremist activity will also be automatically barred from working with children and vulnerable people. [BBC] Read more