And many more realize it, but don't have the courage of their convictions to change. My 83 year old father is a devout Catholic, pro-life, pro-gun, anti-affirmative action, pro-military (he's an ex-Army drill sergeant), pro-death penalty, and even anti-union. But he votes for Dems every election. I've told him he must think FDR is still the president.
Many people certainly do think that way. It is probably worth noting that most liberals explain their sympathy for leftist politics and "social justice" (aka "socialism," IMO) exactly the same way.
They don't quite get the point that when government begins to take responsibility for your life, they also begin to take control of your life. Once government and bureaucracy are able to make arbitrary decisions about the lives of their subjects, which they do in their pursuit of social engineering, the day approaches when government and bureaucracy have unlimited power.