In a way it probably would be a bad thing--at least from the perspective of "keep your friends close, but keep your enemies closer." Easier to keep tabs on what they're doing if we're part of the General Assembly.
"Those peacekeeping operations were the cause of heated disagreements over dues, including debates on whether the United States had accumulated sufficient back dues to be voted out of the U.N. General Assembly."
"This would have been a bad thing???"
Not at all! This would be the best thing that happened to America in a long time!!