The purpose of the inverter is to convert DC into AC, which the usual PSU units expect (ironically the PSU converts it back into DC, but that's another story).
The batteries are meant to give you a buffer for then the turbine isn't giving much juice, but given the amount of power required, it becomes cost prohibitive. I think it would be better to just let them shutdown when there is no wind rather than messing with expensive batteries that need to be replaced every 3 years or so anyway.
By the way the same consideration applies to solar, and you can combine both.
So yeah, if you have that larger 5kW turbine, it probably works for 3 miners (remember the 20/80 rule)
You need a grid tie inverter if you plan to use the grid as "battery", if your setup is separate from the grid, a regular inverter is enough.
In principle you need about 200~250v 50/60hz AC for the PSUs, how you achieve that is left to you... You might need extra things for protection and stabilization, depending. And don't forget the ground.
