White Rabbit is correct, you need to get both the orthodontist and FFS surgeon involved if you want a predictable end result.
Modern orthodontic treatment isn't just about straightening teeth. It also helps to address facial imbalance issues such as jaw position, airway (snoring! sleep apnea), and in doing so, can change the facial profile significantly.
This would also affect what your FFs surgeon would do, so they need to talk. You may end up having ortho, FFS, then some more ortho to tidy up.
BTW, Invisalign generally is good only for aligning teeth, it won't do much for jaw issues.