3 phase is likely of no use for you. The reason for 3 phase is to reduce wiring in datacenters. Datacenters are "big" so they gots lots of long wiring runs. So they run 1 3phase circuit to a rack an then split it out as 3x 1 phase 208V circuits. They can power more gear from a single wiring run. The issue is the gear to split out 3phase into 3 separate single phase circuits tends to be expensive and you don't really have to make any massive wiring runs for the gear will cost way more than you will save in wiring. There are other advantages but they aren't really applicable.
Simple version is 3phase or not it will need to be converted to single phase before you plug it into your power supply.
The good news is that is a premises is wired for 3 phase in the US it almost certainly have a subpanel (and likely outlets) wired for 208V single phase (they take one leg of the 3 phase circuit and create a 208V circuit). In the US if the premises isn't wired for 3phase then it is 120V/240V split phase (same as any residence or office).
So either way you will have power available @ 208V Single Phase and/or 240V "Single" Phase (technically it is split phase but nobody calls it by its correct name).
The main reason for using higher voltage (208V or 240V) is:a) reduce the # of circuits needed
b) power more devices for the same amperage.
c) reduce power losses in wiring due to heat (power loss is based on current not voltage which is why transmission lines are thousands of volts)
d) improve efficiency of power supplies (ATX power supplies run ~2% to 4% more efficient at 240V)
Using a couple of high amperage 208V/240V outlets you can greatly simplify your wiring.
For example using a PDU like this you can power ~5 KW worth of rigs from a single (NEMA L6-30R) outlet.
http://www.ebay.com/itm/APC-Basic-Rack-Mount-PDU-1U-AP9571-208VAC-30A-IEC-320-12-C13-NEMA-L6-30P-/110850452157?pt=LH_DefaultDomain_0&hash=item19cf33aabd#ht_2994wt_1185It has 12 outlets so you won't be running out as you will hit 5KW capacity limit first.
30A, derated to 24A (code compliance).
24A @ 240V = 5.76 KW
24A @ 208V =4.992 KW
APC made something like half a quadrillion of these over the years so finding them on ebay is easy.
Your entire farm could be powered by 5 outlets and 5 PDUs.
I did a little research before rewiring my garage (did it myself, it isn't that hard if you can handle electrical work) and nothing IMHO beats these AP9571s. 30A circuit is going to power 50% more rigs than a 20A circuit so these PDU are more economical than 20A ones. You may think well lets just go 50A.
I like your style but 50A connectors, plugs, receptables, cables, breakers, wiring, etc tend to be very expensive. 208V/240V @ 30A is the best bang for the buck.
I can't help you on the cooling though.