Try this too:
My Droid Incredible too had this recurring 2 AM reboot issue after I accepted the software update to 4.08.605.15 710RD. My Incredible is on Pageplus, so I could not even set up Backup Assistant since I don't have an account directly with Verizon. Anyways, I came across the following fix of removing the SD card in another forum (sorry I forgot which one), and it worked for me. So maybe it'll help you too.
I'd recommend trying these steps close to the 2 AM. Basically you'll unmount the SD card, power-OFF, then power-ON without the SD card, then let the phone sit through the 2 AM time slot. When I did this, my phone finally went through 2 AM without any reboot.
In more detail:
1) With the phone on, unmount the SD card: Menu > Settings > SD & phone storage > under 'Utilities', tap 'Unmount SD card'. Give it a minute or so to complete.
2) After the SD card has been unmounted, power-OFF the phone.
3) Remove the phone's back cover, remove the SD card.
4) With no SD card inserted, power the phone back ON.
5) The phone should power on okay, although apps or widgets that require the SD card may not work properly. So I would recommend doing this when you don't need your phone for anything important.
6) Let the phone sit through the 2 AM time. When I did this the 1st time, my phone's screen lit up at 2 AM, but did not reboot
Then the screen goes dark as usual, and all is well.
7) The next morning, power-OFF the phone, insert back the SD card, and turn on the phone.
For about a week now my phone has not had any auto reboots.
Good luck!