The Church has stated that there is no intent to establish secular elementary and secondary education except in a very few already existing instances where countries do not have such education programs. In other areas of the Church members who have paid taxes and are a part of the community are usually involved with their community schools. Parents can and should have a great influence on the quality of the schools in their communities.
The mission of the Church is religious, not secular, and its resources are focused on the family and strengthening them to live the gospel and be a light to the rest of the world.
If you have particular challenges in your area with public schooling, I would suggest that you speak with your bishop and/or stake president and discuss ways that are available to you as parents to positively influence the education your children are receiving. In some cases, it may involve taking time in the family to teach children correct principles and help them understand that the world does not always see things the way the Lord sees them. In other cases, involvement with parent-teacher associations or in other activities at school will allow parents to have a positive influence and direction on activities there.
Your bishop or stake president, with other parents who have dealt with this challenge, will be able to help you. I recommend that you take advantage of their experiences, and follow the promptings of the Spirit as you navigate this difficult course.
Because the situation will be a local matter that is different for each of you, and because this forum is intended to be a technical forum for leaders and clerks, this subject is really off-topic for the forum. Your best guidance will come from your local priesthood leaders, along with the inspiration you will receive as you prayerful consider the needs of your children and family.