Other can weigh in, but I would not do your own mil conversion in your logbook... some airlines will do that for you, and anyway all of them consider mil vs. civ as apples to oranges. So even the ones that don't give you a conversion factor will be weighing your experience in the context of military flying, and comparing you to other mil aviators.

There have been a few civilian-centric operations which were total-time focused, but they are probably few and far between these days.

You could in theory legally log all of you mil time FAA style in your logbook, but that would then conflict with your military records and would mess up the applications which automatically apply a factor.