A benefit to having America disliked is our government will begin to lose the ability to bully other countries. Before, we somehow had the say in what was right and wrong in the world. Other country's governments bowed to our government's pressure because we were the U.S., the most powerful and richest country in the world. But with the world opinion turning against us, others will feel counter pressure right at home, from their own people to stand up and not listen to what our government has to say.
The more respect we lose, the less others will listen to us. Because what do we know about their country? Our government doesn't even know how to run ours.