Thank goodness the teachers in my children's classrooms don't have this view! Where do you draw the line between things like "I seen it" and "Where you at?" with "The car needs washed"?
I would consider education authorities to be the people who select the text books and set the curriculum. And I don't want them selecting books that advocate for forms of English that will be in contrast to what is expected of my children when they enter the business world. (Although if everyone who was in the business community was utterly proficient in every aspect of English, I guess I wouldn't have a job.)
To boldly split an infinitive is just a matter of style, not grammar, in my opinion.