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Jason Brennan, The Ethics of Voting, p.173-74
I think this quote might have the analysis backwards. Politicians are not irrational for spouting irrational nonsense - because that is what voters want to hear. I'm not sure if that is accurately described as "epistemically irrational" because some of the politicians probably know what the correct answers are.
None of that creates incentives on voters to be epistemically irrational - except for game-theoric reasons. There certainly are costs to voters being epistemically irrational (assuming one believes there are meaningful differences between the political parties - which may not be the local consensus.