Like I said, some slip through. Perhaps your kid is doing good. Does your wife know English and proper conjugation, word meanings and does she know her own weak spots ?? Can she go past basic 1st grade math ?? Can she do algebra, calculus, trigonometry ?? Before you say, what would a kid need to know that for...... you'd be limiting the possibility of a possible scientist or a future physicist. Does she know or understand world history ??
I think homeschooling might be alright for grades 1, 2 and even 3, but not much beyond. You'd be doing your child a great misdoing by not allowing him to experience more of what's out there.
edit: see..... you think there are 1,000 geneders out there, last I checked, it's either 57 or 58. See the misinformation you'd give your kid.