Overanalyzing and making it personal aren’t bad things if we could control ourselves.
We love to take the tidbits found in episodes and to fill the gaps left by canon, so we analyze everything over and over. That was how so many precious character interpretations, fan arts, and fan fics, and even our beloved Derpy Hooves were born. Face it: the wall-eyed muffin-loving time-lord-dating best-mother-of-Equestria that we all cherish isn’t a product of canon; but of analysis and overanalysis of canon AND fanon combined.
We make it personal because we love the show. We’re passionate about this show we are fans of, and we’re dedicated to it, it’s following, and the fandom as a whole. If we weren’t, Derpibooru ALONE wouldn’t have reached the 250,000 image mark. That’s not even counting the onslaught of pics on Deviantart, numerous Derpibooru-ish sites, fan fiction sites, etc.
Neither of these are bad things, but anything is bad in excess; we just need to relax and not get our jimmies rustled so easily. Do I need to remind you all about Princess Cadence? People reviled the idea of another alicorn, and let’s face it, she was invented specifically to sell toys, but look what came of it: an awesome season finale, the best villain in the series yet, and of course a certain alicorn princess we actually came to love and enjoy. It’ll be the same way with Princess Twilight, with this Equestria Girls thing (Whatever will come of that), and with whatever we decide to bawl about next time.
TL;DR: Analyzing and having a personal attachment to the show are fine. It’s when this gets out of control that shit hits the fan.