The major difference between the 2 is that the 1st rig has 2 CPUs while the 2nd has only one.
In heavy multitasking the dualie will be faster, you'll be able to say play a game and encode a movie at the same time.
Having 2 1.2GHz CPUs doesn't mean you'll have 2.4GHz PC, it means you'll have 2 1.2GHz CPUs, as simple as that.
If you want a fast gaming machine, go for the barton, if you want a great multitasking PC w/o THAT great game performance (unless the game has MPC capability) go for the dualie.
Also there are programs that work much faster with two CPUs (even slower) than one CPU as they were meant for multiprocessing..