I think the problem you run into is these are all high-heroic settings; that means most people drawn to them are going to expect to be playing characters at least in that rough weight class, not everyman heroes.
Obviously, we disagree about what we want out of a Star Wars RPG. But beyond that, I'm going to have to disagree with some other things that you're postulating.
For starters, the Star Wars EU was definitely not a high-heroic setting at the time the WEG version came out (1987). Even ignoring how much of the original trilogy is everyman heroes (the pilots in the Battle of Yavin and Endor, Lando, Wedge, Biggs, etc), the EU was composed almost entirely of minor characters at the time. Pre-Thrawn, the EU consisted of books like The Adventures of Lando and The Adventures of Han, which were both low-powered prequels. We also had the TV shows Droids and Ewoks, based around minor side characters. And to round things out were the Ewok live-action movies, which were so low powered they couldn't even fix a spaceship. Even post-Thrawn, where things did start to power up, some of my favorite books were ones like Tales from the Mos Eisley Cantina and Tales from Jabba's Palace. These entries and others were all about expanding the world, not creating superheroes. The "high-heroic" era of Star Wars didn't really start until the prequel trilogy was released, when Jedi became omnipresent.
But people with Force powers who are not Jedi? Non-Force users who are of the capability level of Han? I'm sorry, there could well be scores of such people running around as long as they're not interacting with each other all the time. Having a cluster of them in a PC group is not any more odd than it is in any other RPG.
And the Star Wars game didn't even want to permit that. They showed that the minute you saw specs for Han or Chewy.
Star Wars D6 actually had a trivial mechanic for any character to become force sensitive without any Jedi training - it was only expensive if you wanted to spend lots of points on really powerful abilities. Seems fair to me.
The base stats for characters for Luke and Leia before the Battle of Yavin were really quite reasonable; Han and Chewy were higher because they were more experienced characters. Luke was the one who powered up the most across of the movies (ending more powerful than Han), which is exactly what you should expect.
Meanwhile, Robin has about 200 dice worth of abilities.
IIRC, you could get about 10 points of advancement a session with a reasonably generous GM. Assuming you're playing once every two weeks, that means you're Robin-equivalent after about a year of play. Considering my current game took about two years for us to get from level 1 to 12, and I'd guess Robin would be in the low teens, that's faster advancement than my current D&D game.