they did actually...the people wanted the king only some jew(most famous being marat) lead a gang of 40 000 scum from the port of marseille to take over (the fedéré) most of them werent even french many being prisonners and even some turks(all financed by gold from england, the documents exist to this day)
the people didint accept the new regime and they unleashed the terror(la terreur) as political program. they killed more people to get the revolutionary regime seated than people died in all the wars of Napoléon together.
you can also look into the cahier of the doléances , it was official that go in every province and ask people what problem they wanted solve and 85% of the answer were about the militia, people wanted the ancient way back when people of each parish choose themselve who go instead of the new where your name were draw and you were forced to make the militia...not a single one on hundreds of thousand mention that a person wanted to get rid of the king