The others say they've sent Alex "Home". To Alex's home? To Othersville? To where they sent Michael/Walt and might possibly send Jack?

Does anyone have any clues as to what "home" means in this case?

Not sure, but I thought it was odd that they sent Alex home and yet Juliet doesn't know where she is.

Yes, you are right. That is where they sent her.

I think Alex is probably living where they have taken all the kids they kidnapped as well as Cindy.

So Alex's "home" must be on Alcatraz then, right?