Isn't it too late to change the time period it is set on? Unless you're saying it would be cool for the island to pull people from the future rather than the past...
The island goes back ages.. it is in history practically and you should discover that as you are there. Anyone could be there or even anything. Does that clear any questions?
Since I haven't made a post yet, which I'm planning to do soon by the way, if the island kinda transcends time like it seems you're saying, is it possible if I wanted to that my character could come from less modern times? medieval maybe? or some other time?
<YWS><R1> “The most pathetic person in the world is someone who has sight, but has no vision.”
–Helen Keller
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He began to wonder why he had felt uneasy at all. It was like a man wondering in broad daylight why a dream had appeared so terrible to him at night. — Chinua Achebe, Things Fall Apart