There's two things you need to make people feel the government is working for them:
* good social policies
* adequate education
One of the US parties has been working for decades to sabotage both, and with the help of the media they've successfully managed to deflect all the blame for it. So no, I don't agree that DOGE is a symptom of a larger problem -- unless you mean that the problem is 50 years of consistently undermining the government.