If you're not getting a K series CPU then you don't need a Z87 board. Just get a B85, and with that I recommend the ASRock B85. Reason, no point spending the extra money.
Get a Corsair Neutron GTX, Force GT, or Samsung 840pro instead. Crucial M4s lack IOPS and write speed.
Go with the TX650 instead of the 750. You don't need that much wattage, shaves off the price.
As for the GPU,
this seems to fit your budget keeping it around 900.
Newegg.com - EVGA 02G-P4-2760-KR GeForce GTX 760 2GB 256-bit GDDR5 PCI Express 3.0 SLI Support Video Card
The 760 should be enough combined with the 4670 to do what you want.
For monitors, 1080p for sure, stick with Samsung, Asus, NEC, and Dell for brands. You can get some cheap Asus 23" monitors on Newegg right now.
I don't exactly see the point in mechanical keyboards for gaming, but I do recommend going to your local electronic stores and physically trying out gaming mice to get your feel. Logitech and Razer cater to two different grip styles and weights. Something to think about, as a good mouse can cost some cash.
One thing to note here, since there isn't much info on FF14 rehash I can't say for sure that the 760 will fit the bill for flawlessly maxed, but it should get the job done and is really the most powerful card to fit your budget unless you raise to a 770.