It is not a simple matter of far left versus far right. Lenin was far too ruthless and comfortable using violence to get his way in politics, and on balance seems more authoritarian than Cruz. There are many socialists and communists - even from the years leading up to the formation of the USSR - I would prefer to Cruz but Lenin is not one of them.
While I understand where you're coming from, it's not like Lenin lived in a place and context that was liberal or democratic in practice (the results of the 1905 Revolution none withstanding)....
And besides, every government has some element of violence associated with it.