There's a reason teachers spend 4 years minimum studying, plus constant development. Teaching is a huge commitment and has so much more to it than you might think.
I think it's incredibly disrespectful to ignore your partners thoughts on this. Why is your opinion more valid than his? A lot of what is taught in schools is more than the face value of the subject. If you look up language learning, there is a huge amount of evidence to show the benefits, and the benefits aren't anything to do with ordering a croissant in France. Same with social skills, networking, discipline, etc.
I'm sure homeschooling can be done successfully, but it would take a huge amount of time, resources and commitment (not to mention skills by the 'teacher') which most people wouldn't have.