Military trucking experience considered?

Ok I'm new to the forum and rather enjoying the wealth of knowledge, humor... and rumor that goes on around here.

Just out of curiosity I would like to know what consideration is given to military trucking experience from the better (experience required) carriers? I know there is a world of difference between trucking in the military and the civilian trucking industry but in the end.... hauling is hauling! I've hauled flatbeds through thousands of miles of the most hostile territory and terrain imaginable, led convoys/missions consisting of up to 40 trucks at a time. We were usually "over the road" or "outside the wire" for several weeks at a time, slept in/on/under trucks, provided our own security, and recovered our own trucks/equipment when damaged as a result of terrain or enemy activity. A lot of the job posting that I see that pay well or are worth a look require 2 plus years of OTR experience (I will be looking for local, dedicated, or regional opportunities first). Since the military doesn't require a CDL, I'm excited to be attending a CDL course at the end of the month to obtain my license and sponge up some good intel about the civilian side of trucking. My question to those that may have been down my road: Am I applying as a newby with zero experience or will my experiences actually count for something on the civilian side other than being a veteran?? I just don't want to approach potential employers the wrong way....

Please share any opinions, thoughts, or personal experiences with this. Thanks!