You missing the point of my post.
The fact is that after a while the more aggressive combat characters will stand out compared to the less aggressive ones. That is the way of it. But your game can be balanced in many different ways.
I've adapted to this exact problem by building combat around the 2 main combat characters. The other players can contribute in that they can shoot, but they are hardly my focus.
Work harder at providing noncombat entertainment for the less combat focused.
If you only have half your party participating at any time, why are you even playing an RPG? Break out a board game and everyone can have fun the whole time. It's difficult enough to keep players engaged when they all have internet devices in their hands but if the system actually promotes characters having such dramatically different abilities to contribute at for large portions of the game, then there is a problem with the game that the GM needs to deal with.
All players contribute wherever possible. In combat droid slicers and hair dressers do not shine even though they can both use blasters.
Out of combat non-combatants shine. If hair dressing is the deal then your hair dresser will rock.
This isn't a new concept. Read any adventure for any game system.
I didn't miss your point, you seem to fail to understand that about half the time half the people in the party may as well be surfing the web rather than playing the game.
Most games do not have the massive disparity between character abilities that EotE has. I've read and played tons of game systems and adventures and EotE stands way out on this. I question if you've played any other game if you don't appreciate this.
Although not as much a problem out of combat thanks to being able to use any skill untrained, in combat the difference between a 13 soak character and a 3 soak character is absolutely ridiculous and you do not see this in other games. At least not in games that aren't awful.
Really? Like how like switching from AC to Will goes from 20% hit to auto hit? Or Going after the fighter is 20% but the Wiz an auto hit?
I agree with Maelora that being able to shrug off blaster hits isnt starwarsy but it is most definitely not such a game breaker that you make it out to be. There are plenty of ways to challenge all the party members in a fight, it just requires some ability to control the flow of the battle and tailoring the opponents. Making the battle about giving the combat monster a chance to shine instead of an exersize in party slaughter isnt all that hard.