While I'm sure some people will disagree, I am enjoying the current event mini-games a lot but it makes me sad thinking that within a few weeks or whenever the event ends these mini games will be lost so I am wondering if it is possible to bring all event mini games over to the gold saucer after they are done (and same for future events that has unique FATEs and mini-games.

Seems quite a waste if they just disappear from the game when we got a perfectly nice gold saucer where stuff like this is kinda the purpose why the gold saucer exist :P