What if that's not the choice? What if the choice is "engage with art they enjoy and appreciate, or not at all"?

They're great works to you, and a slog to them.

They can read Minecraft strategy guides and Yahoo auction fan fics for all I care, since that's a lot better than nothing. I remember not wanting to read what school assigned me and how that killed my desire to read most fiction writing, and would prefer that not happen to more kids.

Art is a matter of taste, and if you go counter to your audience's taste, don't be surprised if they disengage.

Because what constitutes "crap" and "great works and high art" is highly subjective both to personal tastes and the culture of the time.

If the works are so great then you've got nothing to worry about. Kids will read them on their own. Of course we both know that's not true, because the works are not that great.