Even if the US military and Tesla got behind this who are they going to bring in to help? This Stanford team is near the best we have right now (if not the absolute best).
Now when they're producing batteries which are better than what is already available on the market AND are near as safe (if you can call current Lithium Ion batteries "safe") then, sure, fast track away.
The ones that are already solved need methods of mass-production, which requires funding and highly skilled researchers. Get a team together under the researchers to work on every part of this battery problem so that when all of the aspects of the advanced battery are figured out it's ready to be mass-produced as soon as possible. I'm not sure, just anything at all to increase the speed of this work.
Sure, being the best matters a lot, but it's also about trying numerous methods and having different approaches and specialties. Going from the lab to mass-production is something that the researchers in the article can't focus on if they are still working on other parts of the battery. I'm sure there are people who would be willing to help, but not for free.
That sounds like what is already happening. This is a well funded well staffed lab we are talking about.