Your mental processes have taken to the wrong part of the universe.
When we read in Genesis 1, about the creation of the animals, all we know is that they were created according to kind, but nothing about the process was given. Thus kind could for cats mean one parent couple that gave us all the various types of cats we know, and the ones now dead and gone.
When God tells us how he created us in his image and formed man from dust, he does us a kindness. He tells us here that we were made specifically to be in his image and that we in this sense are special, even though later we are told we are just animals. This gives us a kind of feeling of being special on earth, and indeed no other animal can change the face of the world like we can, even destroy it as we are doing. Our intelligence puts us in a special one of a kind type of box.
As to the woman having been created by God taking a rib from Adam, there is the following to consider.
The rib is the only bone in humans that can grow back, if I remember correctly, so that Adam wasn't given a permanent disability.
The fact that God created woman from man's DNA and not the reverse - should also be taken as being the only way things can be since man's DNA has both the Y and X chromosomes, while the woman is all X. Thus God had when he took Adam's DNA a copy of X-chromosomes. With this, he created woman.
The purpose is as stated. He wanted Adam and Eve to feel not only that they were made in the image of those in the heavens, but also that they were one flesh. By taking flesh from Adam, matter from Adam, this is what Adam understood:
22 And Jehovah Elohim built the rib that he had taken from Man into a woman; and brought her to Man. 23 And Man said, This time it is bone of my bones and flesh of my flesh: this shall be called Woman, because this was taken out of a man. 24 Therefore shall a man leave his father and his mother, and cleave to his wife; and they shall become one flesh. 25 And they were both naked, Man and his wife, and were not ashamed.
God reasons were thus, as stated, for Adam and Eve and for their children.
In this we see that the reasons for God doing as he did was to give us a sense of purpose, a sense of knowing why we were as we were, and a sense of what we were vis-á-vis each other, the foundation of society, the marriage of man with woman, or woman with man.