No of course not. The American view of Liberalism and Conservatism only exists in America, and is not really found in Europe (though, I hear that some of it is being "imported"). These ideologies are bourgeois ideologies, and via the lack of domination of the base by the bourgeoisie, the lack of capitalist domination of the superstructure, and the constant attacking of these ideologies by Communists will all ensure that will not - nay, cannot - exist in Communism, be this free access or lower phase.
"We must flee from Time, we must create a life that is feminine and human - it is these imperative objectives that must guide us in this world heavy with catastrophes."
Jacques Camatte, Echos from the Past
"For example, to say that the relation between industrial capital and the class of the wage workers is expressed in precisely the same way in Belgium and Thailand, and that the praxis of their respective struggles should be established without taking into account in either of the two cases the factors of race or nationality, does not mean you are an extremist, but it means in effect that you have understood nothing of Marxism."
Amadeo Bordiga, Factors of Race and Nation in the Marxist Analysis