That's a pretty poor point to make, FIFA isn't even an English name; it's a French acronym for "Fédération Internationale de Football Association".

Association football was one of multiple variants of football in the mid-late 1800s, with the name "Association Football" being established in 1863 as it became officially differentiated from other forms of football (particularly rugby). Soccer was a transformation of the "association" part of the word near the end of the century, as adding a -er to things was very common at Oxford University at the time. The US simply adopted a common English term for the sport to differentiate it from American Football, which rose in a similar time period (1869). People blow the whole thing WAY out of proportion.