So, on the one hand, even MIT probably can't unilaterally make a lot of progress on this issue. On the other hand... almost every recent paper I've ever been interested in is available from the author's webpage (making this quote: "much of the work produced in academia is never seen by anyone outside that cloistered world, because everyone who’s not affiliated with a university is cut off from access" ring hollow to me), all of the work to produce the journals is done for free or nearly free by researchers, and (anecdotally) everyone prefers electronic copies of the journal articles anyway. It seems like open access publication is almost inevitable.
A more manageable (but less sexy) step might be for MIT and other universities to defray the admin costs for some of these flagship journals that want to go open-access. The article mentions the American Historical Review as having annual (editorial) costs of about $500k [1], which is tiny for a university.
[1] From this post: http://blog.historians.org/news/1734/aha-statement-on-schola...