Another thing is that I’m not sure he really ignored the will of the people. “The people” were severely oppressed and the policies they supported ignored and rejected for the past 80+ years by the tightly knit oligarchy at the top. The overwhelming majority of its citizens probably had no real reasons to do anything to “protect” the republic.
Also it’s not like Caesar was the first to do what he did. He followed in the steps of a much more brutal and oppressive conservative/reactionary tyrant who almost had him executed a few decades ago.