If money is no option and your looking for a top performance machine, than Intel does have more powerful processors than AMD in the high end, however we need to know budget/planned usage before we can recommend as they trade blows in most price segments.
I want to buy a new PC and my question is quite trivial. AMD or INTEL?
Until 5-6 years ago would not think I would have bet on INTEL.
At the low end and medium range AMD is very competitive to Intel. Sometimes AMD even surpasses Intel in price performance. For instance, AMD has quad core Athlons for about $100. They even surpass slightly more expensive i3s in heavily threaded applications because i3 is a dual core although with hyperthreading. At high end i7s have no competition though. Either way is fine if you don't want an expensive machine.
I would go with an AM3 board with ddr3, it may cost a little more but it is worth it in the long run. As for the computer that you listed I thought you were building your own; are you using this as a template or looking to buy this exact computer? I’m sure you can build a pc in the same price range that will well out perform the computer you listed.