Dollar for dollar a desk top is always going to give you more power than a laptop.
I also don't recommend using a laptop as your primary box. It is fine for travel or getting some time in where you might not have access to your desktop, but just not the same.
I bought a laptop for other tasks like word processing. I thought it would be useful for stuff I thought I might do while I'm sitting in my lazy boy watching TV. I thought the convenience would help. It didn't. I don't even surf the net with it. I don't even use it for word processing. If I have writing to do, I get up and go to my workstation. That's just me though, maybe your different.
...Will it run?
I have heard people doing this, but I've never seen it for myself or heard how well it ran.
Hope this helps,
Urp