Not our military, not foreign country, and not aliens. That leaves…ourselves in a different time/dimension?
A prototype jet owned by Lockheed and flown by a civilian test pilot. That could be called "not our military" without lying. A weather balloon launched by some civilian agency could also be "not our military."
The collective belief of Flat Earthers made it possible for them to return from the Undying Lands, but now they have a space fleet.
Might also be a couple of mice, you know, the one with the gigantic head.