We've seen through things like 18f and usds that the government can adequately and effectively manage software projects itself and produce amazing results. Giving the US government more agency to self-fund ongoing development and procure solutions that are technically superior as opposed to "lowest conforming bid" is what is really needed IMO.
It's stupid that for so long it's been coded into law that you need to spend as little as possible, because that's part of what got us here; the buyers in a lot of cases can't go with a better, more expensive option.
Hopefully the "best value" culture shift in government buying will go along with legal changes to let them act on that.
I have no idea how the process goes, but it seems like some sort of outside consultation on picking appropriate bids might help. Maybe even something like the congressional budget office, but for software systems. That way expertise can be concentrated and they can focus on their core competency, rather than requiring every agency to develop people who can properly analyze bids for software systems.