I was a Navy chaplain for many years, and I can tell you that it is impossible to be a military chaplain and be faithful to traditional Christian beliefs and practices. If you’re a liberal from a liberal denomination, there will never be a conflict; however, if you try to practice traditional Christian beliefs in the military, you’ll never get promoted to a senior officer level. Most likely, you’ll never have the chance to be promoted. I could tell you stories about things that chaplains from my denomination were ordered to do that you find impossible to believe.
I would be really interested in hearing what you have to say, and what you had to do, if you ever feel like typing it out.