I think you should have to meet certain requirements before being able to start advancing to a Jedi level.
We should all start off as non-Force users, or at least the vast majority of us should, then be permitted to advance after meeting (possibly high) targets in terms of combat, etc. or only at a certain point in your character's story.
Obviously, there would be a massive amount of opposition to that from those that cannot be bothered waiting (just the sort of people we'd want to prevent
playing as Sith/Jedi
), but it would , I think, go a long way towards balancing our chances.