If you know anything about Karl Marx and the Communist manifesto, you'd know that Marx did not really profess communism as we understand it today. Marx was pro-capitalism (try reading 'Das Capital') Many people believe that the most 'Marxist' country that there has ever been was the United States in the1950s. So, yes, there will easily be similarities between what Marx said and what the democrats are working towards.
When most people use the term 'Communist' they are referring to 'Bolsheviks' - people who believed that there must be a violent revolution led by professional militants, and that there could be only one political party allowed, which they called the 'Communist' party. That the government would be a dictatorship led by a 'Standing Committee' (which later became the politburo.)