I mean, wow i am very special being born a human (which i had no choice over at all), I therefore must be 'higher' that other organisms that happened to be non-human by chance.
The only problem is that other organisms aren't nonhuman by chance. They're nonhuman by design. Also, it doesn't' matter, because they aren't spiritual beings. They can't fall, but then they can't have a personal relationship with God to begin with. They're an important part of creation, necessary for our survival, but that's all. The point of all of creation is to support human life. The point of human life is to reflect the glory of God.
And you're right that humans aren't any better than animals. Arguments can be made that we are, in fact, worse than other creatures since when we do harmful things it's most often by choice rather than mere instinct. Again, that's irrelevant. We were chosen by God for His own purposes. We're the only creatures that are made in His image, the only creation given a spirit. He proclaimed the rest of His creations good, but never gave them a spirit with which to communicate with Him.
I don't know why He chose us. I don't know why He gave us dominion over the other animals, including the right to kill them for food and clothing(though not the right to be cruel to them, and the responsibility to be good stewards of all He entrusted us with). And in the end, it doesn't matter. He did, and I'm just going to enjoy it.
We're higher than the animals because He placed us there. It's not by any merit on our part. We can say that we are more valued than animals, and that we have dominion over them without any sense of pride because we recognize that our enviable position is only by the grace of God.