And what would be the point? If we're right that their mom is better equipped to teach them than a teacher is (because of time to dedicate to them and a personal relationship and understanding) then what do we gain by having a teacher do it too?
(This isn't the thread for the socializing argument, because OP started with teacher qualifications. I'll just add that we are aware of that concern and have strong mitigations in place.)
I work on homework with my kid every day and after all those things it's not like we have time (or she has energy) to fill in holes in her at-school learning
Next time you're in the car, try teaching your kid about solving systems of equations where both are linear vs one is linear and the other is parabolic. It's a lot easier to sketch it out on scratch paper than to pontificate from the driver's seat.