Ok, I'm going to go very slowly here. I'm not Tesla, though that was in my mind when I chose that name. I admire him, if I would worship any human, he'd be the saint of my church. If only, because he hated superstition, metaphysics, and worked to create in the real world what he had imagined in his mind.
So.
Those photos of Montauk. They are of a Radar Installation. That Radar Installation, one of the first built in America (and thank's to the very brill people in England who invented it) and was built to detect German Hinkle bombers coming to New York. IT PRE-DATES (which means, came way before) Tesla's use of that facility. By the time the Navy gave it to Tesla to use, it had been decommissioned, as radar technology grew very fast and it was obsolete almost as it was built.
They let Tesla use that facility because it was already a secure facility. That radar antenna had nothing to do with Tesla. Those bunkers, were built to house the equipment - hard to replace - that ran and interpreted the signals needed to be in a hardened facility because they were a first strike target, so it would be possible for the antenna to be wiped out, (which was easy to replace in relative terms) but for the equipment to survive and function as soon as a new - even mobile - antenna to be hooked up. It had nothing to do, before, during or after, with the Tesla experiments.
Tesla only showed up there AFTER that antenna and bunker were no longer needed for the reason they were built, which was not Tesla. The antenna survives because the people of Montauk, for some odd reason (not unknown to like people in SF who have this strange attachment to the Golden Gate Bridge and Coit Tower) they found it a symbol of their town, and their place - and worked very hard NOT to have it torn down, as the Navy wanted.
As for Tesla, being peaceful and all. You're kidding me right? Tesla in his time was one of the top defense contractors of all time. Tesla designed several weapons we know about, and perhaps several we don't know about. The 'government' though what branch remains in limbo - military intel, army, navy, or the White House itself, took the papers when he died. But peaceful. Nonsense. Tesla designed death as sure as he designed the three phase motor. Did you not notice that Tesla loved to electrocute large animals using DC, to prove that Edison's system was dangerous, as Edison did with AC, to prove that the Westinghouse system was dangerous. Electrocuting large animals, up to and including elephants, was almost a sport between him and Edison. The two of them zapped more cats than anyone can count.
And Tesla was hardly a humanitarian. He hated people. He was noted once as saying that he loved the company of pigeons over the company of women. And since there is no known record of him every have as much as a dinner date, much less a GF, and never a wife, but lots of pigeons, I have to go with that.
And you are in error about his first lab too. The first lab he had in the US was the Westinghouse lab, where he helped to design the Niagara Falls Turbine Facility (still in use), after which he had a lab in NYC, where he had one of the first phones in NYC, phone number SPring - 299. (When I owned a car, it was my personalized plate)
Considering you have all the basic facts wrong, why should I believe the rest?
But if you're really looking for some fab idea, try the kitchen. It could be that what Tesla was experimenting with was microwaves, and that would explain the 'cooking' of people on the boat a lot more easily than time travel would.
