You don't need stats when most Republican law makers support the big lie. Those that reject the big lie are effectively removed from the party, as Liz Cheney was.
https://www.cnn.com/2022/08/11/politics/fact-check-republican-governor-nominees-2020-election/index.html
Democracies were never design to be efficient and clean. They are fragile messy systems that require protection from demagogues and take overs. Part of that protection involves having an informed, active and purposeful citizenry, which the US lacks.