About anything can be traced back to anything earlier.
Stalinism throve on Russian Orthodox soil, Fascism on Italian/Spanish/Portuguese Catholic, Nazism on German Protestant/Catholic, etc. What do you think that "proves"?
It proves exactly what I was saying before. None of the parties you mentioned were Christians.
Hitler, Musso, and Stalin weren't Christians and the fact that they tried to establish harsh governments in contrary to Christanity only to goes to show my point how without christanity democracy would be non existent.