There is no evidence that FMV or any of the other FMD (fig mosaic disease) associated viruses that have been identified can spread to citrus. None of the genetic sequences of the fig viruses generated to date show any significant similarity to citrus viruses according to the scientists publishing the FMD viruses' gene sequences with one exception, which is Fig Badnavirus (FBV-1). FBV-1 is most closely related to two other badnsviruses, Cacao swollen shot virus and Citrus yellow mosaic virus. By analogy to other viruses having similar levels of evolutionary related where coss-infection has been studied, it would be surprising if FBV-1 can infect citrus. Of the viruses isolated from fig trees that are known to cause FMD, FMV-1 is in the genus Emaravirus. It is transmitted by the eriophyid mite Aceria ficus. There is a study showing that a FMD virus presumed to be FMV-1 can cause disease in some other species of ficus, but not all other species of ficus, another indication that it can not infect citrus. Other examples of emaraviruses are European mountain ash ringspot-associated virus, rose rosette virus, raspberry leaf blotch virus, pigeonpea sterility mosaic virus, yam mosaic virus and maize red stripe virus. All of those plant hosts are pretty distant to fig. There is no evidence these viruses are able to infect each others host plant. Every family of viruses is different, but wide host susceptibility is pretty unusual. Other FMD viruses isolated to date fall into the genera closterovirus, leutovirus, umbravirus and cryptic virus. Other closteroviruses are transmitted by aphids and, by analogy, these fig viruses assumed to be transmitted by aphids too. Badnaviruses are transmitted by aphids and mealy bugs and FBV-1 is assumed to be transmitted by aphids too. I have only had time to compare Emavirus and Badnavirus family nucleic acid sequences. While the viruses within each genus are clearly evolutionarily related, the separation between them indicates they have been associated with their respective hosts for many, many thousands of years. Portions of this with some attached references were discussed in this thread:
http://figs4funforum.websitetoolbox.com/post/Does-FMV-persist-in-soil-6142400
Chivas, the tobacco, tomato and cucumber mosaic viruses are a pretty interesting case. They are all members of the genus Tobamovirus. They differ from most other plant viruses in that they primarily are transmitted mechanically instead of through insect vectors. The many isolates of these viruses actually show a progression of genetic sequences as you move from on isolate to the next. The result is you have examples where it is not entirely clear if it is a tobacco or tomato MV, a tobacco or cucumber MV, or a tomato or cucumber MV. I think if you really start to study the relatedness of the tobamoviruses, you would conclude that there is little similarity between how they go about their business and how FMD viruses go about theirs. It is a really interesting system none-the-less.
If anyone wants scientific references on all this, I am happy to share.
Good luck with your trees!