Sadly I don’t believe the odds of appreciable success are good. I think the odds are much lower than they were for previous attempts. I wrote about President Obama’s appointment of a Chief Performance Officer in 2009
it is dangerous if they believe their propaganda and don’t learn from all the previous essentially identical efforts: a claim of “first” is trying to convince people those past efforts do not exist. This self-delusional pattern is very common in the practice of management and a significant reason why the practice of management has not improved more rapidly over time. To achieve success you need to determine why the problem still exists and exploring the very similar past efforts is critical to such study.
in which I pointed out similar ideas as you state here about past efforts that amounted to very little.
I think there were some reasons to hope Gingrich might help apply some better management methods if he were in a position that gave him authority to do so in the 1990s, today I am very skeptical that he would help.
Related: Better Management in Government (2012) - Public Sector Continuous Improvement Site - Transformation and Redesign at the White House Communications Agency - Doing More with Less in the Public Sector (1986) - The Public Sector and Deming (2005)