While I do agree that something needs to be done with crafting and would like some kind of mini game in it's place I have to say I would not pick this particular idea. It just doesn't fit(in my opinion and as others have brought up there are ways that certain players could exploit it based on their use of mouse or game pad and what not)
I personally don't have a idea myself for what it could be but there are plenty of games out there that show there are fun short and interesting mini games. Bioshock hacking for example was a short little mini game that was quite fun. Mass Effect 2 had a few interesting ones as well. Now I'm not saying to copy those kinda things but that they should be looked at. They were simple and quick. Which is basically all the FFXIV crafting needs to be.