Oh, it's a simple fix. To get the badge, add an article to a category. Near the bottom of every page there should be a categories box. Just click add and then type in what category you want to add it to. If you need more explaining just ask.
Whether or not Alexandrite is stronger than Sugilite I don't know. But under fair circumstances, they would have to be similar. The situation with Alexandrite wasn't really her true form. The gems comprising her hadn't really wanted to fuse in the first place (Pearl and Amethyst). However, when Sugilite was formed both parties (Garnet and Amethyst) were extremely willing to form a fusion. Alexandrite wasn't showing her true personality and her weapon hasn't been shown. Both fusions are strong but it's hard to tell which one is stronger as the situation wasn't the same for each fusion.