You know word "liberal" has quite different meaning from 100 years ago

by our current standarts the liberals of old would be conservatives today, while liberals of today would be called bolsheviks by liberals of old. So, you are completely correct, drive for innovation and change will not die out as it is inherent part of human nature.
Secular cultists, who see themselves above laws of nature will die out, however. Narcissism cannot defeat God and social engineering cannot defeat Nature.
What we call "liberalism" in 21st century is not future, it is graveyard headstone to evolutionary dead end. Fertility rates are just reflection of that.
In Western nations such as Italy and the United Kingdom, more than one-third of the women are likely to remain childless till the end of their life. This is what liberalism and radical feminism can do to you.