I'm reading at the moment, a highly recommended book, by one of the 20th century great economists and political philosophers Frederic Hayek. It was written in his spare time between 1941 and 1944 and is called 'The road to serfdom'. He was born in Austria, but moved to the UK in the 1930's, where he became a prominent economist at The London School of Economics. He considered Communism and National Socialism as one and the same in terms of planned economies and the total loss of freedom. In his view, one of the reasons, they hate each other is where they are both trying to recruit the same type of people, from the same pool, to back their cause.
"It is disquieting to see in England and the United States today the same drawing together of forces and nearly the same contempt of all that is liberal in the old sense. 'Conservative socialism' was the slogan under which a large number of writers prepared the atmosphere in which National Socialism succeeded. It is 'conservative socialism' which is the dominant trend among us now."
With the intellectual links of 'conservative socialism' to National Socialism in the 1930's and 40's, Lizzie, might want to find another less controversial term to describe her politics.