Is the disc clean? Dirt might make it mess up.
That said, it should be fine to install it from the mac pro, start it in target disc mode, hook the cables up, and away you go. Just make sure you tell the installer the right drive to install to!
What's worth doing, is once you've got the machines hooked together, put the dvd in the macpro, open up terminal and type/copy n paste:
open "/Volumes/Mac OS X Install DVD/System/Installation/Packages/"
then, in the window that pops up, find "OSInstall.mpkg" and double click it. That way you get to run the installer without messing around with reboots and stuff