I regularly see his name popping up in jaw surgery related Facebook groups and on Reddit. He never posts directly of course, there are always people that sign up for the group to recommend him (never any photos etc., they just appear, say this guy is a good surgeon, then they are gone, that type of thing). He did not 'train in the USA', he posted some grainy images on his website according to which he was a 'visiting professor', whatever that may mean. May I remind you that thousands of very good doctors of Indian origin actually qualify from medical school in the USA probably every year, so even if he did, it would not be unique but as far as I am aware, he did not.
The recovery time he tells you about might look impressive, in practice anybody can tell you anything, I can tell you right now that if I do double jaw surgery on you you will recover in two days. Happy now? My point is, there is no evidence to back up any claims he might make. I consulted with other maxillofacial surgeons in India who were very well regarded by other medical professionals, and I decided against going with them because, for example, they did not use any software for planning, their before and after photos did not look professional to me, and in general they made a lot of claims (fast recovery time etc.) that they could not back up by any evidence. This is just my personal take on it - if you go ahead with the surgery, I hope you come back to the forum to tell others about your experiences.
