Cornerstone Group

The Cornerstone Group is a highly socially conservative, mainly Anglican group in the United Kingdom that works from within the Conservative Party. It's essentially the rough British equivalent of the Republican Party, though it chooses to work with (relative) moderates from within another party rather than start their own.

It was founded in 2005 by Edward Leigh (an independent-minded veteran Conservative MP) and John Hayes (another conservative and Eurosceptic Tory MP), and they supported Liam Fox over David Cameron in the 2005 Tory leadership vote. It does not have a formal membership but instead a list of "supporters", who have included Jacob Rees-Mogg, climate change denier David Davies, Sajid Javid, John Whittingdale, and David Amess. Its website has been described as "rather neglected", much like certain parts of RationalWiki.[citation not needed]

Typical policies
Pretty much what you'd expect from hardcore social conservatives. Opposed to gay marriage and generally fairly homophobic, restricting or banning abortion, opposition to teaching the kids about the birds and bees at school, more restrictions on immigration, and a vehement hatred of liberalism. Their platform sums it up thusly:

"We believe that these values must be stressed: tradition; nation; family; religious ethics; free enterprise. We want to use the leadership election to argue for principles and policies, not about personalities. We must seize the centre ground and pull it kicking and screaming towards us. That is the only way to demolish the foundations of the liberal establishment and demonstrate to the electorate the fundamental flaws on which it is based."

In other words, there's a reason why even other Conservative Party members are embarrassed by them, such as Alan Duncan MP who labelled the tendency "Taliban Toryism".

They support traditionalist Christianity, citing "the spiritual values which have informed British institutions, our culture and our nation's sense of identity for centuries".

The group was critical of David Cameron's move to the centre while in opposition in the late 00s. Its supporters tend to be opposed to the European Union. Its website promotes various speeches by prominent supporters, including one (singled out by Conservative Home) by founder and president Edward Leigh which called for a move towards a flat tax, reduced state control over schools, market-based reforms in the health service, and an end to the "tide of political correctness sweeping and restricting Britain".