AKs do not shoot on par with ARs. I'm sorry, I've shot far too many of them to say that is not a normal occurrence. The higher end AKs will do about 2 - 3 MOA, which is plenty decent, and near a run of the mill AR. The WASR, is a pile of junk that is lucky to hit the broad side of a barn at anything beyond 200 yards.
Not at range, and not with the better ARs, no. But you add an Aimpoint Comp M2 or EOTech to an AK and watch out. The matches I played in were run-and-gun for the most part, and no shots over 70 yards. Before I moved, using my "featureless" AK with no pistol grip or anything, I was leaving guys with registered rifles that had all the ooh-ahhs on them in the dust without hardly trying to.
Of course, I looked at how a Garand trigger worked (Garands are actually almost identical to the AK part-for-part - there's no doubt in my mind that Kalashnikov ripped off Garand's baby by simply rearranging parts, which took a bit of genius in and of itself) and copied the way it gives a bit of a two-stage function - the disconnect pushes against the hammer just before release to give increased load at the breaking point. Then I lightened it with plastic stocks, added a good brake (the slant compensator is almost useless, and is not designed for modern tactical rifle shooting methods) and the optics. Bam! World-beater.