Can I compete in the Olympic Games by way of the American Fencing League?
No, not directly. Olympic fencing uses USFA/FIE rules, which are significantly different. USFA/FIE fencing is a different game with different objectives—a game that branched off from standard fencing gradually during the the 1970s and 80s. While there is quite a bit of overlap between the two branches of the sport (particularly in épée), ultimately American fencers who wish to compete in the Olympics will need to fence extensively (to put it mildly) in the USFA and internationally in order to qualify for the Olympics.