An actual cherry-picked example of DOGE's potential fraud finding is at the SSA where Musk showed his query of "DEAD" = "FALSE" (I am paraphrasing a bit) yielded a huge number of folks over ages 115. Context is what is scarce. Are they receiving payments, are there other reasons for why the query returned those results, what other context do I have to interpret these results? Again, I have no idea.
I think the safest way of couching what is going on, is a drastic curtailment of government programs and employees. Equivalents to this? Maybe Gorbachev. I am sure there are other historical parallels, but they are probably apples to peaches comparisons at a certain level.
And to your last question, I am not sure if anyone really knows the problem/s that are being addressed right now other than debt and the capability to pass a tax cut.