>Nothing about libertarianism compels you to move to a less government-y place just so you can work a more ideologically pure job.
True, but it does compel you to work in a non-governmental job as much as possible. Or at least be honest about the situation:
"I hate working for the government and all the waste, but I applied to 100 jobs and this is that only one I could get. I'm looking to get out as soon as possible into the private sector."
I'm not fighting for ideological purity, but for ideological honesty. To me at least, it's okay to be a hypocrite or inconsistent, just so long as you are aware of the situation and can acknowledge it. Sometimes shit just happens and you end up in places, doing things you'd rather not be.
The specific thing I'm curious about are the all-too-common cases of people who do not possess the meta-cognitive awareness that they are engaged in hypocritical behavior.
Not really. Libertarians want government limited to certain essential functions (exactly which those are varies a bit between individual libertarians.)
There's nothing inconsistent about being Libertarian and working for the government in one of those essential functions.
It's a strained analogy, as strip clubs are fundamentally about the thing people who are opposed to them find objectionable - the stripping. Most things government is about these days isn't the thing libertarians or conservatives oppose.
They generally don't oppose that education or the environment is being studied or recommendations are being created - they oppose that the government coerces people to pay for the study and follow the recommendation.
If you're a passionate researcher of things environmental, you probably won't be able to pursue your passion if you cut out government employment - and if you live near DC, most jobs will be "contaminated" by government. Nothing about libertarianism compels you to move to a less government-y place just so you can work a more ideologically pure job.