I don’t think it’s about the budget at all. It’s just an excuse to purge the civil service, since it’s overwhelmingly liberals in it, so that they can swing it more republican. Deficits are just a cover.
While there is certainly a wide range of individual viewpoint in the military, compared to the general population I would not describe it as "overwhelmingly liberal".
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There is evidence that DOGE has targeted Federal agencies perceived as "liberal":
Here’s one, maybe “overwhelmingly” is a bit too extreme but we’re talking double or more the number of registered dems on average, with some departments being much more lopsided: