It is a very smart move to do a legal audit before you relocate your business. You don't want to invest millions in Dubai and then find out you have a Red Notice. You can get a professional status check through
https://intercollegium.com/ to see if there are any private alerts in the system. They can also review your US cases to see if they could escalate into an extradition request. I did this before my move and it gave me so much peace of mind during the immigration process. It is much easier to fix a legal issue while you are still in your home country than to deal with it at a Dubai airport desk. Don't leave your future to chance when you are making such a big life change. The UAE system is strict but predictable if you are prepared.