Unlucky one my tab has that scrolling issue.
I got this as well its got to do with the recovery or previous installs. I was on CM 10. I tried both recovery roms from
http://droidbasement.com/db-blog/ still same issue.
So went back to basics and used odin to install United Kingdom / Ireland 2012 July 4.0.4 P7510XXLPH P7510XEULPH from
http://www.sammobile.com/firmware/?page=3&model=GT-P7510&pcode=XEU&os=1&type=3#firmware
Did the default setup with out signing in.
next root the device see
http://xdaforums.com/showthread.php?t=1807219
That didn't work still rolling screen
tried ClockworkMod_Recovery_v5.5.0.4_P75xx.tar and that worked
Booted back into recovery and re installed this rom.
Now all good again. Can turn off reboot etc and no scrolling.
Yes this was after wipes and no logging in etc as per OP
Note be very careful how you wipe with stock rom re brick issues>> (this may be not an issue but be careful)
This rom seems just as smmoth as JB CM 10 thanks for this.