No. I have always liked Fuji, right from my days as a teenager using an old Fujica ST701, and I think the XT-1 system is quite appealing. But; I don't feel that the slimmer body is worth trading the OVF for, or losing the full frame. And, as has been pointed out here on CR many times, to achieve the equivalent in lens speed on these crop systems is actually very expensive, more so than FF. Add these factors to the reduced versatility and no, the system isn't for me.
OK, this actually raises one of the issues I have with Canon ... what you term "lens speed on these crop systems". FUJIFILM made the 56mm f/1.2 lens, yet Canon offers nothing similar for their "crop-frame" cameras. It seems that their (Canon) philosophy is that if you want "fast lenses" then you must buy into their "full-frame" products.
Now this being the case, and given the collapse of the consumer market, why does Canon still persist with "crop-frame" cameras. None of their (Canon) current "crop-frame" stuff can compete with FUJIFILM, Panasonic, etc. in terms of "fast" lenses, without resorting to "full-frame" lenses. (And I'll concede that for now none of the current "other" manufacturers' "crop-frame" products can really compete with Canon's "full-frame" gear in terms of "fast" lenses. But we're comparing oranges to oranges and not oranges to apples here.)
Fuji offer this lens because they don't have a FF stable. Lets assume you were starting from scratch and want to shoot shallow dof portraits. You have a choice between the XT-1 + 56/1.2 or a 6D + 85/1.8. Both will achieve pretty much the same thing in good light. Using UK prices the cost of the Fuji kit is £1771, the cost of the 6D kit is £1569, so the FF system works out cheaper. If a manufacturer has a number of FF cameras in their line up it is not economical for the customer to pay out for expensive, very fast prime crop sensor lenses.
So Fuji's production of these lenses would suggest they aren't going to bring a FF camera to market any time soon.
Now Pentax, that's another thing. What most people don't realize is that those APS-c primes that Pentax make - many have a full frame image circle.