We have been over this before, and it still doesn't pass the smell test. First off, there is no Grand Junction DMU study. There is a Grand Junction Transportation Study that did not mention DMUs because DMUs outside of Fairmount was never proposed by MassDOT until the map that went out with the CIP last year. I'm sure you did something more complex than simply "multiplying by TPH", because that study assumed commuter rail train lengths and speeds, both of which would be improved upon by DMUs.
The closest thing we have to a Grand Junction DMU study is this thesis paper from MIT:
http://dspace.mit.edu/handle/1721.1/73788
In it, the author quotes a "gates down" time of between 3-5 minutes during the peak hour for all rail alternatives, with the DMU performing (as one would expect) better than commuter rail. Now, he assumes higher frequencies than are realistic, so with 4TPH, the math is simple: 20s lead time on the gates + 15s time to clear the intersection + 10s to raise the gates, all multiplied by 4 = 3 minutes, and that's being generous with the raising time (I guessed).
You don't have to do complex queuing theory to evaluate that. It's the equivalent of a signalized intersection weighted 20-to-one in favor of Mass Ave. It's not unreasonable at all.
In fact, it's done elsewhere. Oakton St. in Skokie, IL, for example, has crossing gates for HRT:
https://www.google.com/maps/@42.0255652,-87.7472286,687m/data=!3m1!1e3
The 2009 PM Peak traffic count for that intersection is slightly less than the 2035 no-build identified for Mass Ave. in the GJTS (very slightly, and the frequency is higher):
http://www.skokie69.k12.il.us/Staff/Admin/district/docs/DowntownSkokie&OaktonStreetCorridor.pdf
There is no carmageddon at that intersection. Not even close. In fact, the CTA recently added a station right after it that forces the trains to slow down as they approach, and they faced basically no local opposition in doing so (the town paid for the station).
I am not arguing that Grand Junction DMUs should be a high priority project. I am not arguing that they are cost-effective or will justify their costs with ridership. However, arguing that the equivalent of a hugely favorable signalized intersection will destroy the flow of Mass Ave just doesn't hold up. Just because Cambridge freaked out at a couple of extra minutes of delay doesn't mean they were right to.