No, they simply believe that this "moral foundation" you speak of ought not be laid and maintained by the state. Social conservatives, on the other hand, seem quite inclined to support use of the state to compel moral behavior.
Liberals also support use of government force to compel their idea of moral behavior, which has led to Christian businesses being forced to pay for abortifacient birth control, serve gays, etc.
Lovely philosophy.
What do you consider “moral behavior?” Remaining clothed in public? Refraining from sexual intercourse in public? Prohibiting the selling of pornography, cigarettes, or booze to minors? Banning the practice of driving on public roadways while intoxicated?