Shoobee, parallax is only an issue with magnified optics. I think what you are talking about is offset (the sights being some distance above the bore).
All rifles have at least some degree of offset, since the sights have to be located at least somewhat above the bore. But of course some have it less than others. The main situation in which you have to take it into consideration is shooting at ranges shorter than the "near zero" of your rifle, which will result in point of impact being below point of aim (the maximum being at the muzzle, where POI is under POA by the actual amount of your offset).
It's not really a big deal, and is not a factor that really makes one rifle more effective than another.
Also, the AK-47 and M-14 are not both .308 caliber weapons, and their weight is not anywhere close to the same. An AK also weighs about the same as a comparable 5.56mm rifle.
Don't worry, we were all noobs once too!
And good job to the OP and all you other gents for getting the ladies out to shoot.
My wormin enjoys it somewhat, but not nearly as much as I do. She comes out to the range occasionally, and I got her to come to an Appleseed with me once (I am an instructor). She is pretty good from prone with a sling. And she is good enough with her .38 special to defend herself if I'm not there to protect her. She is grudgingly tolerant of my gun-buying proclivities. I'm sure that might change if I ever put a ring on her finger though!