If Gove creates a legal avenue that will allow some Peeler to arrest or harass someone for expressing GC views, then it will happen.
Its quite late and I haven't really read about this in detail but at the moment my understanding is that it isn't anything to do with the police.
This would be the Government saying a group or organisation is extremist and because the Government says they are it means they should not ever receive Government money or be consulted by the Government (but not I think shut down).
A group only has the option to then go for judicial review to prove they aren't extremists, rather than say a process that the Government is require to show how and in what way a group is extremist.
I haven't read anything about the police having any role, but would presumably mean newspapers etc., should never quote anything said by one of these groups.
And whilst some of us might like to see trans groups as not being allowed to influence government, it all seems back to front. If the Goverment cant work out at the time whether a group is extremist. Its almost like the accept they cant work it out for themselves so have randomly picked a few groups to say they shouldnt be spoken to, but haven't put in place any mechanism to work how they would assis groups in the future.
The groups named by Gove
Patriotic Alternative
Anti-extremism campaign group Hope Not Hate describes Patriotic Alternative as the UK's largest fascist group. Some of its followers were involved in the group National Action, which was subsequently banned under terrorism laws. Patriotic Alternative says its is promoting a patriotic view of the UK - but its critics say followers regularly espouse Nazi thinking.
British National Socialist Movement
British National Socialist Movement has been described in Parliament as a white supremacist group that originated in 1968.
Muslim Association of Britain
The MAB is the UK affiliate of the Muslim Brotherhood, an international and complex network of Islamist organisations. Islamism is a political ideology that believes that predominantly Muslim countries should be run according to a form of government drawn from Islam's holy book, the Quran. Islamism has many branches. Some Islamist groups are so extreme they are also terrorist - but that is not true for every such organisation. The MAB says it has long worked within the law and alongside agencies including the police.
Cage
Cage emerged as a campaign group against the "War on Terror" that was launched by President George W Bush in the wake of the 2001 attacks on the US. It explicitly campaigned against what it said were abuses perpetrated against Muslims in Afghanistan and elsewhere - but its critics say it was often acting for terrorism suspects. It has never been accused of involvement in terrorism and one of its founders has repeatedly won legal cases where he has been accused of involvement in suspect groups.
MEND
Mend, Muslim Engagement and Development, is a Muslim campaign group that tries to encourage people to get more involved in politics and is active in opposing policies that critics say perpetuate a them-and-us victim mentality. The organisation says it legitimately campaigns to protect the rights of British Muslims and has said it will take the government to court if it is named as extremist.