At least it was an attempt to help though, right, and it gives an idea of very roughly what the pack takes to run nicely (and run the server in single player, I assume?).
I can tell you that it seems to take anywhere from 3-10% of my cpu cycles to run the server with a low pop (usually not more than 6) on an i7-3770k, and playing SP I can't seem to break 20% (spawning lots of villagers, lots of zombies, a wither to blow up blocks and shooting at anything interesting with the explosive dubstep gun) so the client doesn't seem very processor intensive, a processor that has a fifth of what I have available to use should be all but the very cheapest or old processors.
Graphics are harder to get results for, but I seem to be able to sit consistently at 25-30% use in the maximum on a Radeon HD7870 (I don't know how much of this is just the pack though, this includes all the overhead from windows and anything else I have running). Still, it gives us a baseline.
Let's assume the overhead is really massive on your CPU and the total utilization is about a third of mine, then anything faster than Intel's Pentium G2140 should be OK even in the worst case the way I run it (check here), The graphics card is a bit higher but you could turn things down, a 260, 660 or 760 (not mobile version) should be fine, and that's corroborated by what rcmaehl is saying (the 9800 alone would have to have some settings down a bit but would still be fine).
Briefly on this tangent;
With regards to MHz, Kr0nZ, that's only true if everything else is can be held to be the same (the exact same architecture). I would be happy to underclock my processor to 2GHz to compete with a quad-core cellphone in zipping and unzippng, if you'd like to try it for real make a 1GB compressed file of some kind to try it. That misunderstanding is the same thing that kept the Pentium 4 alive so long ("why is my dual core 4.3GHz Pentium D half the speed of that Core 2 Duo 2.6GHz? These results must be wrong!")
32-bit vs 64-bit is less big of a deal than you'd think (it's mostly useful for allowing the operating system to address more RAM so you can have more applications running simultaneously), most programs, games in particular are still piss poor at dealing with large quantities of RAM, and don't benefit from the 64-bit CPU calculation savings.
Since we're talking about Minecraft here, the third one is actually the opposite of true - the more RAM you allocate the more work the CPU has to do, so if you're limited there already then you can actually slow things down greatly by allowing it more RAM. There's a sweetspot on every system for every pack between stability and speed.