Yes , you can reuse your old 4.10 carrier for your 14FF if you get the after market thick gear set .
The material that R/P's are made out of is very high grade and fairly exspensive so axle manufactures sometimes made differentials with the ring gear mounting flange in different locations to avoid having excessive ring gear material. The after market addresses this issue by offering the thicker gears but the O.E.M.'s saved money by making seperate series carriers because they are making such large volumes of each - if they can save a few bucks on everyone that they build , in the long run it is more cost effective for them . The aftermarket makes money because there is a market for the thick gears when the correct carrier is hard to come by or the other series carrier is more plentyful.
I can not remember if a "Thick" set of gears are offerd for the Dana 60 but a call to a gear seller will answer that for you.
HTH, Tom