Laptops GENERALLY are not meant to play games... HOWEVER, you can get some gaming laptops but (like mastric said) they are not cheap by any stretch of the imagination. There are also a very select few laptops that have interchangeable graphics cards however the graphics cards are expensive. Laptop graphics cards are built into the motherboard and therefor can not be removed without a lot of work and soldering. Another issue many laptops see (someone commented on this already) is heat. Heat is a MAJOR issue with standard laptops and gaming laptops are not any different.
If you are going to play games i would HIGHLY suggest a desktop because they are 1000000x easier to upgrade and in my personal opinion more reliable. That being said, if you would still like a laptop that has enough balls to play games on decent settings the laptop that you described in your first post is decent and the price isn't bad however you will need to know what graphics card it has in it so that we can tell you what it will be able to handle. As far as playing minecraft goes, it is a very GPU (graphics processing unit) and CPU intensive game (despite the graphics) so you would be putting that I-5 under a bit of stress if you had a decent video card and a lot of stress if you had a shitty card.
Sorry for the delayed response. I work a lot >.>
Edit: As far as the link you posted to the graphics card: One: That is a desktop graphics card and can not be put in a laptop. Two: that is a decent card I actually have a Sapphire HD 5550 in my gaming rig right now. Three: the 5570 is a much better card that is only a few dollars more, however ATI has the 7000 series graphics cards out now. The 7000 series cards will destroy the 5000 =/