No, the world did believe that Iraq had WMDs. They just did not support the war because they hoped appeasement would work better. Also, many European countries had significant Muslim populations and they were fearful of Muslim rioting if they supported the U.S.
Lastly, many European countries were actively doing business with Saddam Hussein and were making loads of money from the situation. They of course were not interested in a war because they would be basically cutting off their own hands. France and Russia, the ones who were most opposed to the war, had billions owed to them by Saddam Hussein. Because the U.S. wouldn’t guarantee their payment, they were vehemently opposed to the war.