This MAY have been discussed, and I missed it due to vast numbers of posts. It seems a Big Issue though, so my thoughts:
FIRST, I'd love to play a jedi. Hell, I'd BE a jedi in a different universe. But, I fully understand FFG's logic in not allowing you to be a jedi in Edge of Empire. In fact, I applaud them their vision & courage.
Edge of the Empire is like… a prequel. It sets the stage for the Big **** Heroes (woops, wrong forum) that we've come to know and love. It's meant to give us a better feeling for the down-home grittiness of folks' lives in the Star Wars universe if you weren't Luke Skywalker. It's where Luke, Chewie and Han were at the very beginning of A New Hope (Luke was, of course, a Colonist). It's folks just trying to get by. There's no flippin' HEROES. There are Survivors. And there sure ain't no jedi trotting around.
Although it was announced at the beginning, I don't know if everyone is aware that there are two followup rules/sourcebooks planned. Book #2 is Age of Rebellion, which takes characters out of their Survivalist mode and makes their lives start to really mean something in the big scheme of things. Book #3 is Force and Destiny, where PCs become major galactic players and in which the blurb actually states that characters may be "the last surviving Force users in the galaxy."
These three volumes actually mirror the progress of the films; Luke starts as some hopeless scrub with scrub buddies hangin' out at Tosche Station, gets caught up in exciting local events, moves on to make a big name for himself and eventually becomes one of the biggest players in the galaxy.
So, don't sweat it because you can't fry & dice people as a Jedi (or Sith) from Square One. Take a step back. Play as a scrub, someone just trying to make his way in the world. FEEL the world around you! Get to know it. It will make the stuff that comes later all the more fun.
Addendum: If I had a complaint with the initial release, it would be " Gand?! Why not Duros instead?" and "no Astromech droid? I can play IG-88, but not R2-D2?"