I imagine the rest of the world outside the house to be and bearing in mind that no one is perfectly rational; and most people you find will be still on their journey of "getting better". I imagined my characters to only be "most of the way there".
They may appear to be incongruently on their way to rationality (aka - better in some areas than others). But such is the nature of the journey. For we are not all naturally born saints.
There is a lot of rationality to try to have it all there at once. It would have to be an imaginary "inquiry" process where a particular notion or two will be focussed on at any given episode. This episode focusses on the errors caused by a lack of bayesian reasoning over simple tasks, and further the failures of having too much of it... And eventually the advantages of bayesian thinking win out over the disadvantages.
Take: trigger-action person. (they rely on verbal triggers to do a whole bunch of actions) i.e. pushups, smiles. And have them get into a fight over their trigger action (oh no - sometimes the world is just tricky to navigate). But also have them succeed at whatever trigger action they were trying to complete. Make the win-states outweigh the losses...
Journey to the win-states? With bad jokes along the way?
Do you have/know someone with experience in scriptwriting?
I don't have experience beyond having watched a lot of tv and talked about it but I have watched a LOT of tv, read a LOT of books, and seen quite a few movies.
Insofar as you make average people and situations the enemy of your main cast, you are positioning yourself as critical of normality, in a way similar to Dilbert. I think that's a decent stance to take, though I can't think of a good example that has a wide cast of competent people. But making fun of normality is a LOT easier than presenting a coherent upgrade. This is similar to the problem of writ...
At the Australia online hangout; one of the topics we discussed (before I fell asleep on camera for a bunch of people) Was writing a rationality TV show as an outreach task. Of course there being more ways for this to go wrong than right I figured its worth mentioning the ideas and getting some comments.
The strategy is to have a set of regular characters who's rationality behaviour seems nuts. Effectively sometimes because it is; when taken out of context. Then to have one "blank" person who tries to join - "rationality house". and work things out. My aim was to have each episode straw man a rationality behaviour and then steelman it. Where by the end of the episode it saves the day; makes someone happy; achieves a goal - or some other <generic win-state>.
Here is a list of notes of characters from the hangout or potential topics to talk about.