Whatever Neville Chamberlain was, he was no liberal. He was the hero of the Conservative Party, the hero even after Churchill took over as PM, whose aim, futile as it turned out to be, was to direct Hitler into a war with Communism that would destroy both evils.
Chamberlain was a conservative in much the same way that Lindsey Graham is a conservative.
Churchill was an outcast in the Conservative Party at that time.
I think deep down most Conservatives thought Hitler was useful as a bulwark against Stalin. Churchill was the only one who saw, even as early as 1934, how evil Hitler really was.