Americas Army stunk bad on release, but was pretty solid by the time that it got to 3.0.
Recruits are trained on the engine used in ARMA by Bohemia Interactive. I played some of the scenarios on Operation: Flashpoint (which featured cold-war operations in the late 1980s).
Eventually, when I got hit, I assumed I was dead, and occasionally be surprised that I'm not, in fact, falling over, and am still alive and still have functional parts.
But yes, the most effective way to play seemed to be to hide in a bush and wait for minutes (hours if necessary) for the enemy to cross your firing line.