Your plan is flawed in this respect. When you report that you spent the past X years on active duty in the Navy, any airline will legitimately ask for your DD214. Since the Navy won't consider you separated, you won't have one. This will be an enormous red flag. If they do give you a DD214, then you might have something.

Years ago, I interviewed at an airline that wanted to hire me. When I presented my DD214 the chief pilot was surprised. He had just hired a former Army warrant officer who, when asked for his DD214, told the CP that, "Only enlisted troops get those." Once I set him straight, he was a bit angry (not with me). Before my class date, they began to furlough. Typical.