@rosemary does have a Keyboard Maestro macro that can send an OmniFocus item to a calendar.
In Rose’s example, she set it up so that Keyboard Maestro runs once an hour to avoid overflowing the Google servers. It updates the calendar for you. Perhaps you might find a way to change it to your particular specifications? This AppleScript will copy any task that has a due date but I imagine you would need to change it to look for any tasks that have a particular tag.
It does make sense to send a task with a due date to Google Calendar. Do your MIT tasks have a due date assigned?