I currently have the AMD 5470 mobile GPU on my laptop and the only Intel iGPU that comes close are the sort of newer versions (3000 and 4000). On the laptop I too have the original Intel HD graphics (i3-370M) and the 5470 is much better.
According to Intel's site it uses (I suppose) the original Intel iGPU, which is probably... well it isn't exactly worth it.
Sauce: http://ark.intel.com/products/82723/Intel-Pentium-Processor-G3258-3M-Cache-3_20-GHz
The aftermarket cooler wasn't exactly necessary however it's understandable the stock cooler can be a little bit loud at times. Other than that, pretty solid build.
I mean its really up to you - you could probably add in an SSD later but I really doubt you can like switch out laptop displays (would be pretty cool though).
No problem. Also, here is another ASUS laptop. It's essentially the same thing as you mentioned in the OP but lacks an SSD.
http://www.newegg.com/Product/Product.aspx?Item=9SIA4P02TH7300
Dunno what people think of Acer but this ticks all the boxes; (EDIT: Doesn't have a backlit keyboard :v)
http://www.newegg.com/Product/Product.aspx?Item=9SIA4P02TH7300
And a Gigabyte one
http://www.newegg.com/Product/Product.aspx?Item=N82E16834233088
EDIT2-
Looked up the ASUS you mentioned;
It seems pretty good - I haven't used an ASUS "gaming" series laptop before so don't take my word for fact.
http://www.newegg.com/Product/Product.aspx?Item=N82E16814125770&cm_re=gtx_960-_-14-125-770-_-Product
GTX 960 for $210 ^
The GTX 960 would probably be best for this rig as people have stated above.