Returning to your original light cone isn't going back in time. Because what you're missing is the elapsed time of the set-up and the fact that FTL still takes time, even teleportational methods.
Considering this discussion from you is still ongoing, I think you'd do really well if you haven't already to first really look at the handy video posted on FTL travels link to time travel. But to save you to have to look for the link in the post history, I'll relink it for you
here.
The video gives a fairly in-depth look of the matter, rather then just some pop-sci answer, going in to more serious depths on the matter.
I think this would be more constructive, because at that point you'd at least understand far better what exactly the others are arguing and why many of your current arguments have little chance to sway them.
Now having said all that, I'm not entirely willing to throw out FTL travel as totally impossible for sure. How ever this requires making some kind of compromise on what we think constitutes reality, and not the trivial sort of compromise. It is so far I can tell unavoidable that one has to give up on some important element of reality we take as true. for it to be possible... So well the cuts will hurt you somewhere I guess.
In any case, a fair few physicists don't think for now there is evidence that one of our central pillars on reality is false. Because well we think reality is the way it is for a reason after all, it really seems to work that way.
Still to give you an example on how you can have FTL and is also relevant to this story, is to have time travel be possible. But this isn't a trivial decision, if it's possible in one way, it's probably true in many ways. To the extent that you'd probably get something like retro-causality, where the past determines the future and the future determines the past, it's all interlinked and in a sense all of time is perhaps already set. You still make your choices, as does everyone else, but the conclusion of all those choices made of ones own will is still already known and there is nothing one can do to change it. After all, any kind of time travel in reality is already incorporated in reality, time travel changes nothing. Everything will happen, has already happened, what is time even really anyway?
Well pick ones poison in the end I guess.