They should be better shots, yes. You have to question the value of target practice vs. ammo cost in a survival situation. I could see a lack of training especially given the fact that they have eradicated most of the zombies by hand to prevent attracting more to a large noise. What bothered me more was the fact that all the governor's people, including the governor were standing in the open, away from cover, and never suffered a loss. That may have been used to display the people's arrogance, as a bit of foreshadowing.
The possession of fully automatic weapons bugs me too, however.
The possession of fully automatic weapons bugs me too, however.