A lot of those are features of some government jobs, but not necessarily government jobs in general

they do not pay commensurate to similar jobs in non-gov positions.

No, but they do make up for it at least somewhat in benefits, which sounds like something OP is interested in, and since they're looking for a less stressful job, they probably have also come to terms with the fact that the pay would likely be lower

you must conduct mandatory quarterly drug tests to ensure you are in compliance to federal drug laws.

That varies on the nature of the job and the agency you work for. Like I said, I work in 911 dispatch, so I'm subject to a lot of federal regulations and such, including about drug use, but the only time I got drug tested was when I was hired, the only circumstance I'm subject to testing is if they have reason to think I'm intoxicated on the job. (The test when I was hired was a hair test, fun fact, at least at the place that did our testing, their policy is if you shave your head like I do, the next place they take a sample from is your armpit, I was expecting them to take it from my beard, but they wanted pit hair)

you must submit fingerprint and/or DNA samples

I did get fingerprinted, that is true. No DNA samples though. Not exactly unique to government jobs though, a lot of private sector childcare and healthcare employees, casino workers, bank employees, and security companies, just to name a few, require fingerprinting.

you must disclose many financial, foreign family, or unusual hobbies, so they can legally deny you things such as certain rights in case you are in a job that requires security clearances or NDAs.

Don't recall that ever coming up in my hiring process, and I handle a lot of privileged info. Not exactly a security clearance or NDA, but lots of personal info and such that I can't talk about outside of work.

it's difficult to promote to higher pay positions unless you grease the right hands and network the right people or simply be lucky right-place-right-time, you will simply stagnate in your place for a long time (or just simply be furloughed).

The same can be said about a whole lot of private sector jobs as well. Networking is a big deal. This also depends on the exact agency/department you work for, a lot of agencies do like to promote internally to fill openings and new positions when possible. At my work it's pretty rare to see someone totally new brought in to fill most of our positions we get people being promoted and moved around a fair bit when there's an opening, and most of my chain of command up to the director of my department started out as dispatchers and worked their way up through various supervisory roles, deputy directors, etc. Some positions are of course more of a dead end than others, there's only so many places you can move up to from courthouse clerk, but it can also be pretty easy to transfer to a different department, I've had a fair amount of coworkers move from the communications division (which dispatch is a part of) to logistics, IT, emergency planning, the coroners office, there have been cases where underperforming dispatchers have been found other jobs in the county, etc. And not everyone cares about promotion, I'm happy to keep answering 911 calls for the next 20 or so years, and I suspect that OP maybe doesn't care too much about long term career prospects since it sounds like= they're basically just looking for something to hold them over until retirement.

if the gov shuts down, you don't get paid.

If a private company shuts down, you don't get paid and you have to go looking for a new job because it's probably not going to open back up in a few days or weeks after the assholes in charge get their heads out of their asses.