Earlier neoliberal party in the UK then? Rather than waiting for Thatcher and still having the trappings of aristocracy and statist traditionalism, the Liberals (who were very reformist, weren't they? I think I remember them being the equivalent of the Progressive Era reformers in America, with things like labor laws and some hospital reforms and the like) turning right would not likely take on the aristocratic/nationalistic trappings, would they?
Instead of King and Country versus Freedom and Equality, it would be Free Trade Liberals as the only large party that the rich would see fit to donating to versus Labour.
And without a more centrist option between Liberals and Labour, more of the social liberal reformist types would end up in Labour, giving it more of a middleclass presence than it traditional has had.
Or, to avoid parallelisms with OTL, it would be funny if the religious conservatives via some sort of even greater Methodist boom ended up attaching to Labour. Labour for socialism and religious conservatism, Liberals as Right Libertarians who also like military intervention (liberty for all, plus it's good for the military-industrial complex who of course donate to the party of free trade).
Of course I know very little about British politics, so correct me if I am making false assumptions.