I don't know about focusing particularly Boolean logic but I've been a proponent of at least a one year logic course for a long time.
I'd focus on more practical aspects of logic, the kinds that you see poorly displayed on places like Slashdot every single day. e.g. paradoxes,inductive vs deductive logic, false equivalences, predicate logic, propositional logic, forms of cognitive bias. For the latter I mean things like selection bias, confirmation bias, though I know it would be an uphill fight as folks wanted to turn it into a 3 month seminar on specific forms of gender and racial bias.
Frequently people conflate logic with 'what kind of sort of makes sense to them at the time or sounds ... you know ... right'.