Hi Ryan--welcome to EpicSki. You asked for it...you got it!
Your video shows that you are an aggressive, athletic skier--fun to watch. But the answer to your title question, as others have already affirmed, is yes--you are (or at least, you were in much of that video) "in the back seat."
But I would agree entirely with what CGeib has pointed out. I suggest that your back stance is more of an effect than a cause. That is to say, you must identify and correct its cause, rather than just trying to "get forward," or "get centered." As it is, your skiing demonstrates a classic and not uncommon "syndrome" of movement patterns that all fit together and, in some ways, work. Narrow stance, skis aft weighted, lots of "hip angulation," and strong movements known as "counter-rotation" in which your upper body tips and twists one way causing your skis to twist the other (a good demonstration of Newton's law of "equal and opposite reactions"). All told, they accomplish what you are trying to do quite effectively. If you try to change any one component--like "getting centered"--without changing all the rest, it will not work!
As CGeib has suggested, because your technique essentially "works"--it accomplishes what you're trying to do--you'll need to back up a full step and look at your intent--the "purpose" behind your technique. What, exactly, are you trying to do? What do you want your skis to do on the snow when you "turn"? Why do you turn in the first place? Intent dictates technique, and if you truly want to improve your technique fundamentally, you'll need to approach it from this angle.
Chris has linked to several articles and threads that discuss this critical point, and I encourage you to explore them. But in short, it is clear from your movements that your primary intent when you "turn" is to get your skis twisted in a new direction, skidding sideways in an intentional skid. That skid, of course, slows you down or helps you control your speed--and I'll bet that "speed control" is usually your underlying reason for turning. As long as that is the case, there's nothing wrong with your technique. You're braking, basically, and it would be folly to try to "get forward" with the brakes on.
While braking certainly has its place in good skiing, great turns are categorically NOT about braking! Turns are about accelerating, gliding, gaining--not losing--speed as you dive down the hill to start the turn. That's a whole new ballgame, a whole new "paradigm" that, as soon as you recognize and embrace it, will transform your skiing in many ways. It's not an easy paradigm shift for most people, but it's the signature of great skiers everywhere, and it is worth thinking about. If you can accomplish this fundamental shift in how you think of your turns from the start, you will not need to "work" or "remember" to get centered, any more than you need to think about "moving forward" when you start walking or running. (I assume that you do not usually fall over backwards every time you take a walking step. If you do, then we have other problems to address that go beyond the scope of a skiing forum!)
Yes, it is a chicken and egg thing. But when your technique works as effectively as a whole to suit your purposes as yours does, why would you mess with it? Until you discover a new--and, I suggest, far more rewarding, exciting, and satisfying--purpose. This new purpose ("Go that way," instead of "stop going this way") will bring out all new movements, and a whole new world of skiing for you to enjoy.