I would strongly shy away from hiring anyone who took part in the DOGE effort for a number of reasons, but primarily because the tech team involved seems so ham-handed and amateurish.

However, I would be willing to bet there are plenty of potential employers that wouldn't, or would even consider it a positive. Unless things turn much uglier, I suspect having that on your resume would simply affect which set of companies would be willing to hire you, not whether or not you're hireable.