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With 13 and 15 years flying experience between the two pilots is it likely they will keep their jobs?
They've got two things at risk: their jobs and their licenses. The FAA might take certificate action (a suspension or a revocation). This would likely result in the company terminating their employment, since they wouldn't be able to actually do the job. The company could also fire them regardless of any action by the FAA. I really have no idea what will happen and it wouldn't surprise me either way. At the very least they'll be getting some remedial training, which amounts to a wrist slap. And, of course, they'd be on double-secret probation for a long, long time.
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And if they were to be let go by Southwest, could they get a job at another major airline?
This incident would be an interesting interview topic. Any application will ask if you've ever been involved in an incident or accident and also if you've ever had any certificate suspended or revoked. Once you check those boxes, it's going to be a natural follow up question, assuming you even make it to an interview. But...if you
do get a chance to talk about it and you handle it well, you might still get hired.