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It's very good, but again the POD is yet to be finalised so there may be things here and there that need changing and other people might have input on the parties.Liberal-Conservative (Daniel Hannan): Born out of the postwar merger of the two parties, the Liberal Conservatives are a lightly right-of-center, moderately libertarian-ish party that has pro and anti Europe wings much like the OTL Tories.
Christian Cooperative Party (Jonathan Reynolds): A Christian Democratic, populist/agrarian outfit that advocates a socially conservative, economically populist message.
Social Democratic & Labour (Jeremy Corbyn): Democratic socialism, trade unionism, left-wing populism.
Reform Party (David Milliband): Born out of ex Lib-Cons, CCP'ers, and disaffected SDLP members, the Reform Party stands for European integration, social liberalism, centrism, etc.
National Democratic (Nigel Farage): Anti-immigration, anti-Europe, protectionist, right-wing populism.
Green Party (Caroline Lucas): Green politics, community politics, eco-socialism.
Scottish Republican (TBD): Scottish nationalism, socialism, left-wing nationalism.
Protestant Unionist (Ian Paisley Jr.): Ulster regionalism, conservatism, right-wing populism.
Sinn Fein (Gerry Adams): Irish nationalism, left-wing nationalism, republicanism.
Irish Parliamentary Party (Edna Kelly): Irish unionism, centrism, Christian Democracy.
Plaid Cymru (Leanne Wood): Welsh regionalism, left-wing populism, social democracy.
United Left (Salma Yaqoob): Trots, far left-wing, socialism, republicanism.
Edit: I renamed the IPP and PB4P, but retained some other things (like the SDLP). Is this list acceptable? I figured United Left would fit a minor party better than the established labour party. It's your project of course, so feel free to make changes.