Jon - There is a great pictorial description of the process of growing a fig tree from a small bit if tissue that could readily undergo a heat treatment to eliminate virus(es), hopefully, in this paper.
http://www.landesbioscience.com/journals/gmcrops/09SolimanGMC1-1.pdf
Frank, Luke & Suzi - As I read the horticultural literature, my take is that fig researchers are in general agreement that fig mottling disease (FMD) free trees produce more, higher quality fruit than non-FMD trees. I am still looking for the published basis for that apparently universally accepted view. I think you are correct that it is very, very unlikely that established fig groves would be destroyed or there would be any restrictions on cutting exchanges in our country. But, my guess is that is not due to the difficulty of the task or some notion of our rights, but to the fact that there is not a large commercial fig industry in the US. If figs represented a large portion of the agricultural economy in the US, or possibly even California, as say citrus does, then economic pressures might drive a very different result. From reading the literature, I get the sense that countries like Turkey, Egypt, Tunisia, and a few others in the mediterranean region are interested in developing FMD free areas. Probably a long ways away, but the researchers over there believe it is doable and if enough money gets behind it, the fig industries there will get what they want I would bet. There are good parallels to this with the citrus industry in this country. The citrus industry has driven incredibly strong, complex federal regulations about the movement of citrus germplasm. So, when some backyard growers violate those rules & introduce huanglongbing (HLB) disease which could ultimately destroy California's multi-billion dollar citrus industry into Southern California, they have begun to find out what really pissed off big money can do to you. Here is an interesting part of the story:
http://articles.latimes.com/2012/apr/14/local/la-me-citrus-disease-20120414
More information, though off topic for figs, is at this UC Riverside site:
http://cisr.ucr.edu/asian_citrus_psyllid.html
Good luck with your trees!