I think the Exodus in-app exchange is ShapeShift, so probably they were the ones that froze your assets for some reason. According to
this support article, they are also working with FTX. Having your assets blocked is unfortunately one of the dangers of using centralized exchange platforms.
FTX is now making partnership with a lot of wallets. Recently, it made a partnership with Ledger Live. I wonder if Ledger Live will also try to frozen our coins one day if FTX says so?
Do your coins originate from some illegal activities maybe or can you think of a reason why they would ask who you are? Or maybe it's a significant sum which triggered their alarms.
Since they are in control of your crypto, you don't have any other choice than to do what they say and provide the documents they want.
Depending on the regulator point of view, a withdraw from a casino or mixer might be considered "illegal activity".
Stop using Exodus
This is the best answer.
Just get a better wallet, such a Electrum.