The fact that several people have mentioned your public image might deter them from hiring you should raise some serious concerns. Instead of getting defensive and stubborn, take a moment to reflect. This could explain why you're not receiving callbacks. Insisting that you're right and everyone else is wrong isn't helping you.

Given how competitive the job market is right now, you have a PR issue. It's important to take a deep breath and recognize that people are trying to offer you objective advice.

If you're not willing to improve your public profile, you can't expect to receive interest.

Have you ever had a friend in a terrible relationship, where everyone can see how bad it is except for them? You have a problem with your public image. If you don't think it accurately portrays you, then clean it up. From your post, it seems like you're involved in really interesting projects—why sabotage your good deeds?

Deleting your LinkedIn profile seems a bit extreme. You should be creating it in a very polished way. All you need is one job to come from it or to catch the eye of one recruiter.

You have to play the game. That sucks, but the freewheeling days seem to be over. Play the game or accept you are making the rock you're pushing uphill heavier.