Every time I learn a Gemara with alot of אגדדתא that quotes psukim from נ"ך I realize how little נ"ך I know. The Jewish educational system in America for boys basically forgets about it. Once you start learning Gemara that is it, you spend most of the day on that. It is sad because נ"ך really can teach us a tremensous amount about Jewish hashkafa and how we should approach things.
In Israel things are a little better, the kids learn more because they know the language so they can go a lot faster. Even so, at a very young age they start learning Gemara and that takes over their time.
I understand the reasons, there is so much to know, and so little time. The answer really is to change the system and to introduce Gemara at a much later stage when the kids have already learned תנ"ך and mishnayos. I believe this is the approach of Zilberman's (בן חמש למקרא בן עשר למשנה). Th problem is that if you go to a Zilberman's elementary school you are stuck, it is very hard to switch out because you haven't learned the same curriculum as everyone else.