I did not attend any school until first grade. All of my children went through two years of preschool and one year of kindergarten before first grade. We paid for the preschool and it wasn't a hardship, the "tuition" was quite reasonable. There were several options available. We also have a state sponsored preschool in our small (7k pop) town. We've had two ladies run the place since I've lived here. I was friends with the first lady (she remarried and moved) and am friends with the current lady. You also mentioned Head Start. We have a Head Start program in town as well. The structure was a private preschool, then a daycare before it became a Head Start center. We also have two daycare centers that I know of. So, if a town of approx 7k people can give parents five different choices in early childhood development (home, preschool, state preschool, Head Start, daycare), why do we need more federally mandated programs?
Look at what is broken in you and you will understand what is broken in the world...