There is a problem with Government IT. I have seen it first hand. The problem is that it is run by contractors that rebid every 3 years and the lowest bidder gets the contract. That is generally the lowest capability bidder, who then does a "job fair" to hire as many of the previous contractor's employees as possible before starting work. It is a game for the purpose of avoiding paying government health and retirement benefits for full time government IT experts.
Worse, the IT is always underfunded, so doing a major overhaul for "must work now" type systems is just not feasible with the funding level and turnover rate. Doing that requires building the new system while still running the old system, so more than twice as expensive for labor plus the new equipment expenses. Government can't just use commercial IT products in most cases.
The government gets what Congress pays for (or less), and Congress has a priority of buying votes with new social programs or better benefits or more eligibility for existing programs, not improving something IT that is still working OK for now.
So, not the FAA's fault, not NASA's fault. The Defense Department does get the high tech - because Congress budgets for it.