No, they are the United States of America, the most power entity in the world, the strongest kid in the playground. Anyone who tries to go against them loses because they are stronger.
I honestly feel like your career in the US is over, the system is too rigged against you. According to them, you are a "sex offender" AND you owe a lot of money to a woman for a long time with nothing in return. Your best bet is to go to another country and start from scratch where you will not have any "sex offender" hindrances and you will not owe money to anyone. Trying to get child support from someone in another country literally never happens, its impossible. You could go to europe, Portugal has very high quality of life and low cost of living. Or you could go to another country like panama, Thailand, malaysia, georgia, ect. There are plenty of companies hiring there that would appreciate your skills. In terms of your name being googled, obviously you have to either legally change your name or go with a pen name, like your middle name, and a different last name. In terms of your children, you have to accept that your wife did this to them, and whatever lower quality of life they experience is your wife's fault, not yours. They wouldn't be experiencing this if your wife didn't do this. Your best bet is to leave the country and save up as much money as you can that you can spend on them when they turn 18. Until then, try to keep in contact with them digitally, teach them how to secretly keep in touch with you.