Think of it this way. Does it bother or scare you that you weren't about in 1900 or 1800? Death is no different to not being born yet and you happily spent the vast majority of the history of the universe in that state already.
The probability of you being born at all is minuscule, you've beaten odds that exceed winning the Lottery two weeks in a row. Had just one birth in your lineage not happened, when it did then you would never have had existed.
Believing that on top of that luck you've been blessed with (pardon the pun), that you also deserve to live forever is nothing by arrogance when you think about it.
No, you're right, it is an arrogant position and I freely admit that. I guess it's a case of you don't miss what you never had re: the 1900's.

It might be, as Bill Hicks says, 'just a ride'.