Well, not to argue with what would work for your own family, but there are plenty of curriculumn out there that could teach your kids the same theology they’d get at Catholic schools, and it’s hard for me to believe they can beat the success rate of homeschoolers at raising kids who stay involved Christians (98% I believe in one recent study)
Personally, based on the “Catholic social teachings” I was exposed to at the Catholic university I attended I’d rather teach the kids their values myself but I hope most Catholic schools don’t have too much social justice nonsense.
Nothing that the Catholic Church teaches is nonsense. I believe that we are the true church and that all of our teachings are the true teachings of God. The authority that the church teaches with is derived from Jesus himself through Peter.