If we don't like the politics of our unions then we should stop paying our subs. Many of the TUC related ones seem very male and have been slow to protect women.
Alternatives to standard captured unions include:
Affinity
workaffinity.co.uk/
"Affinity represents thousands of people working in a wide range of industries including banking and finance, accountancy, retail, manufacturing, education, the law, hospitality and travel and tourism. Its members include teachers, bank staff, IT consultants, financial advisers, academics, local government staff, lawyers and civil servants.
"Currently in its centenary year, Affinity is different to most trade unions in that it has no party political affiliations, is not a member of the Trades Union Congress and has no ties to the employers it deals with, leaving it free to protect the rights and interests of its members without fear or favour."
There is also the Workers of England Union
workersofengland.co.uk
If you're a member of the Free Speech Union then there are discount offers for joining the above - you should check your membership emails. freespeechunion.org/
For teachers there is also Edapt which is legal cover and employment advice - they're not strictly speaking a union.
www.edapt.org.uk/