American Visa Waiver Program – Adaptation of the status of a US citizen child enrolled in the VWP program

Hello, I am a naturalized citizen. I have a baby who was born out of wedlock in D County before my naturalization. My child has a German passport and entered the United States with me on a VWP / ESTA a month ago. I wish to apply with forms I 130 and I 485, but I am now afraid that he will be expelled. I have enough evidence that he is my son. What are the chances of deporting a baby? Thank you