They're not soft. It's just a beeatch to first be on exercise, then be told 'fights this war and we'll send you home', then win the war and then be told 'oh, you'll have to wait for a bit in this unstable country which by now is probably more dangerous for the average soldier than it was during 'major combat'.
A bit disrespectful to call people who just risked their lives in a war for 'soft'. Maybe they weren't front line troops but as we've seen before even the maintenance crew can get in serious trouble.
I'd be pissed off too. OTOH, it's their job. The military isn't there to just do parades and give scholarships for studies. In Denmark the chances of being sent away to a war are slim; in the US it's quite likely.
Low morale is a bad thing though and the Baathist loyalists will pick up on this quickly, as will at least half of the population in the US.