What lessons learned can be determined from how the Federal government has responded in protecting the nation from the coronavirus pandemic?

Lessons learned?
We as a nation cannot fight this pandemic effectively without leadership at the federal level. We have not had that.

There are a lot of good responses on this topic. One thing I don't think has been mentioned is that in the past the CDC has played a leadership role in global control and prevention of diseases, including novel diseases like COVID-19.

One thing that happened as part of "America First" is we pulled back from those efforts. Globally, what the US had done to help control diseases like COVID-19 didn't happen. Not only did we not control it over here, we didn't help control it in other countries and so it spilled over here in much more serious quantities. Helping control diseases in other countries is in our national interest. It helps us control it here. It was a failure across the board.

Personally, I don't think we know anywhere near enough with any certainty to begin assessing it holistically. One thing that does seem to be blatantly clear is that we're drowning in low-quality information, and suffer from a resultant "trust deficit". Imagine going on an operation with NCOs and officers you couldn't trust, making decisions on information even they couldn't trust, towards an objective not even the planners knew for certain they could trust. Trust is what binds any group of humans together, and once it's gone... it can be nearly impossible to restore it. If I were to hazard some very rough guesses, I'd suggest that moving forward, we need to step back from "details" (such as which states are doing what vs. others) and look at the "Big Picture". Data needs to be rigorously vetted and segregated. For example; if you're going to report the daily "death toll", then those numbers needs to come from a central source, reflect complete accuracy in terms of age, cause of death, location, prior morbidity factors, etc... and then be compared to known metrics such as "annual averages" across the same data sets. If 1,600 people die, but 1,000 of them fit within "common" identifiers... then we have to address the 600 "uncommon" as something entirely separate. If it can be critically confirmed that 300 of them would've died within roughly the same time frame regardless of COVID-19... that too needs to be taken into account. Frankly, I think those at the "top" sometimes get trapped by "Mustdosomethingnowitus", only to end up having to reverse their positions, or alter decisions... ultimately wasting more time and resources.