Our response to these very real concerns was to enroll our daughter in Catholic school, even though we are not Catholic. There is a culture of learning and achievement, and zero discipline problems. Also, Catholic schools expect (actually, demand) parental involvement in the educational process, and in my view this is an essential aspect of their success.
My son was in private school for a few years. The problem we have is my daughter is special needs. Most private schools cannot handle her situation, and we also lose all of her services if we transfer to a private school or homeschool.
We are currently trying to get my daughters into a charter school for next year, but the charter school is full for this year.