No. A tolerant, secular, liberal state should not respect the will of its people if the will of (the majority of) its people is to become an intolerant, religious, oppressive state. It is OK -- possibly even necessary -- to have a set of core founding principals which must never be abandoned.
Also having “core founding principles” doesn’t mean that they are valid or that you got them right from the beginning.
This is majoritarianism. Not liberalism, and certainly not democracy.
> respect the will of its citizenry, whatever it is
How do you define that? Is it always what the majority decides? What if the liberal secular government knows that going along with the will of the people will result in a minority of the population losing most of their rights and potentially suffering extreme oppression?
One could could assume that after learning what happened in Germany in the 30s (and some other comparable situations) most people would agree that even liberal states need to draw a line at some point.
What about a secular state that doesn't want to become an Islamic state, but has a significant minority that has the opposite wish?
AFAIK this is the most important common political problem across the Islamic world. Many organizations such as the Muslim Brotherhood want to Islamize their respective secular countries, some by peaceful means, others by violence. There has already been at least a dozen civil wars around that issue.