It seems to me that the reason that you would send your children to high school is that they would become an educated self sufficient and contributing part of our society, and not just a drain on our social services ( welfare, food stamps, medicaid).
How can you expect them to do anything in today’s world without even a minimal education? We have an obligation to educate our children, a chiyuv to do so, and those who don’t, are failing therir children miserably and destining them to a life of poverty unnecessarily. Their shidduchim have nothing to do with that. Don’t worry so much about what your neighbors are thinking! TAKE BETTER CARE OF YOUR CHILDREN INSTEAD.