Nobody vibrates with 'hatred' for public schools. It's just that a great many are coming to the realization that public schools are 1) not teaching our kids academics very well, on average, despite swallowing enormous amounts of money (far more than private schools do) and 2) there are powerful political and other agendas at work in public schools which seek to teach things to our kids that are diametrically opposed to the values that many hold dear. It's not hatred - just disgust. They are not the same. I don't hate anyone. I am disgusted by what I see in the public schools.
I chose that word specifically.