By definition, a "liberal" is someone who is open to new, alternative, and hopefully more positively effecting ideas. While by definition, a "conservative" is someone who seeks to maintain the status quo, regardless of the value or effectiveness (though he believes the status quo is the better and more effective methodology). Which is why those who hold the greater wealth and power in society are traditionally conservative: they want to "conserve" the mechanisms that have enabled their access to greater wealth and power.
By definition, then, liberals are more concerned for the well-being of society as a whole, while conservatives are more concerned with their own well-being. So as to who "listens" to whom, I think it would be far more likely that a liberal would listen to and consider the value of a conservative's wish to conserve the status quo than a conservative will be to listen to and consider the value of a liberal's wish to make changes for the betterment of all.
Don't you?