You numbers are way off.  I can build a 6 card 570 rig for around $1500 today that will mine about 12-13$ a day.  If I wanted to wait for cards on sale I can do it for about $1250-1300 pretty easy. 

That changes the decision quite a bit. 

Is an Antminer more profitable, yes, but as others have posted you are really pigeon holing yourself on what you can mine.  On a mining rig I can switch coins and mine what ever I want (even things like BTC and LTC because I can use winminer or nicehash).  I can mine coins with a lot more room to grow if I wanted to keep the coins.  I will always have some value with the parts of the GPU rig. 

When you consider all those things the decision gets really muddy really fast.  I like miners when they first come out.  You can make a lot of money if you can get the first batch.  I just never hand any luck with that.  Once the market gets flooded (ie. D3) I don't think there is a clear winner and it just comes down to "why" you are mining and personal preference.