No prestige because this is not CoD.
If they Don't allow character transfer to Destiny 2 then I am pretty sure you will get a reward for having played this Destiny, seeing as most games that have a sequal usually give a gift to those with save data from the previous titles.
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will the rewards be worth losing all that blood and sweat you put in your characters though, i have never seen a game give that great of a reward for even the simplest of game just because of balancing issues.