Man I really haven't studied verbal so I don't know what to tell you as far as strategies go. I am applying for MD/PhD programs in Anthropology, and all of my undergraduate research is in Anthropology. So I've spent the last 3 years reading things like Arthur Kleinman, Foucault, Talal Asad, Ludwig Wittgenstein, Stanley Cavell, Veena Das, hundreds of academic journal articles in anthropology, critical theory, etc., and other really dense theoretical work. I've also written hundreds of pages of papers. And I don't have a TV, so most of my media entertainment also comes from reading fun adventure novels or things like that.
So it's really not an MCAT prep thing, it's a different background thing. Just like some student who did a lot of work in physics and math as an undergrad will dominate me in the physical sciences section.
How much time do you have left before your MCAT? If it's a good amount of time, I would suggest downloading some academic articles in the social sciences or humanities and trying to work through reading those. The more you read things that you really have to push yourself to follow, the better you will get at this kind of stuff. You can PM me if you like for some suggestions on where to start here.
If your MCAT is soon, I would just suggest practicing as many verbal passages as you can, and reviewing them to try to see where and why you misread or misinterpreted the passage. There seems to be a consensus that TPR hyperlearning verbal workbook is a great resource.