Cyberpunk 2077: Phantom Liberty is a preem spy thriller adventure. However, if your V really isn't that interested in working with government types, you can choose not to sign on to a life of martinis shaken, not stirred.
Only issue is, choosing to do so locks you out of the questline—and from what I've tested, it's permanent. At minimum it'll delay your progression through the DLC's story substantially, but I don't get the sense Reed's gonna call me back.
Here's the mostly spoiler-free rundown: at the end of a mission called Lucretia My Reflection, you'll be given a choice to stay or go. If you go, you really do go—you fail the mission, and are roadblocked from proceeding.
You can still run around Dogtown, but there'll be no suit and tie galas with Mr. Elba, which is a crime in itself. Just make sure to play ball with your new friends, and you'll be golden. If you're really worried about accidentally dropping the new DLC, here's the specifics.