The law of attraction is not a magic wand. Because the brain preferentially scans and stores negative experiences, we have to consciously, habitually build the positive mental muscle. We all have layers and layers of stories, limiting beliefs, fears and blocks that have become the interior landscape of our minds and cannot be changed overnight just by thinking positive thoughts.
You claim that "positive thoughts always resulting in positive things" is not the basis of the LOA. In part you are correct. The foundational basis in science, as I alluded to in the article was that thought stuff particles travel through ether (not air) and interact with formless stuff to create whatever it is that you are thinking about. This was how "the law" started.
How To Manifest What I Desire