My blunt, honest opinion is that yes, people might discriminate somewhat and bully because of height, but you're placing way too much importance on it, probably more than any people I know. I am 5'11", male, and don't agree with you at all. Height doesn't matter one bit when I choose friends, and I'd be surprised if it does for a lot of people.

There are so many groups in every society that suffer more because of who they are than short people. I don't think this is an important issue in comparison. You are making it sound far too serious, we all have our advantages and disadvantages. But this is just my hopeless opinion.