This doesn't make sense. "So are" means you wish to attribute a quality that one object had to another object. There is no quality that you're attributing here. You're only saying that they're not all the same. This could be expressed like so:
Yes, I'm a learner, but us learners are all different and so are the native speakers.
Here, I'm attributing different to both learners and native speakers.
Like FumbleFingers stated, this also violates parallelism. Parallelism is the grammatical concept of making certain that elements of your sentence structure are consistent. It's quite broad and encompasses several rules, but this is one of them; because of the previous negation, "so are" must also be negated. You must change your diction and meaning to fit this structure (or find a way to write it with no negatives, like I did above).