Don't worry too much.
I'm in NZ. We went though this in 1990, with Mike Moore being PM for 60 days. Australia went through a period of PM musical chairs too recently.
Insofar that people here think about it al all they hope and expect it will pass.
It probably makes a difference that the EU isn't regarded as the shining city on a hill like it is in other places.
What is different is that I can't think of a single politician here who is as mendacious as Johnson. I've been scratching my head over just how much the UK public will tolerate from him.