Jstall,
This is what I have done ( on Gardenia and Jasmines and citrus ).
Prune away the infested area before spraying. Discard the leaves, branches that are infested with the webbing and those tiny little bugs. I know it's a little more difficult on fig trees so use a damp towel with alcohol and water and wipe away the webs and then spray the entire tree to the point it is soaked and dripping like it just rained.
Since you have a greenhouse then there is no worry about taking them into the garage and worry about the cold.
Wait a couple of hours so the plant can dry off and then spray the entire plant with the insect soap the same way as you would with the alcohol/water.
Don't forget to wipe and spray around the pot and into the soil.
Follow up with a medium dose after two or three days.
Buy then the problem should be contained and repeat with a light dose of insect soap once every ten days to two weeks. If there is no sings of the pests then there is no need in spraying but wouldn't hurt to do so.
I'm not home that often so I instruct my family members to spray my Jasmines and Citrus at least once a week with water and 10% to 15% alcohol. Two benefits, Keeps the leaves from drying off and to help keep the critters away.
I hope I was able to answer your questions and this info is based on my own personnel experience and others may have their own opinions.
You may also refer to Garden Web and scroll down to Pests and Diseases, There you will find much more info.
Good luck,