As someone who makes hiring and firing decisions, I have never seen a better qualification than someone having been a fighter pilot. Several of my friends are former pilots for the Navy who have done well in various entrepreneurial pursuits involving technology. I would hire them immediately if they ever needed a job.
The basic qualities I pick up on, and that seem to be the most appealing as an employer, are the level of preparation that goes into being a pilot and the practical math behind operating an aircraft. In my business, we need to have a lot of planned out from the beginning for things to go well. It's clear to me that structure and process, and the ability to compensate effectively when something does go off track, are in a pilot's DNA.
Not sure what jobs you have been applying for, or why this is not coming across with other employers, but feel free to reach out to me via PM if you want to discuss directly.