If it is the only generating device feeding the regulator, then simply put an ammeter of the appropriate size on the output of the regulator. An analogue ammeter is best, see Maplin or RS. Don't measure the current going into the regulator as this includes the current that is going to be dumped in the shunt element.
Some battery management systems have multiple channels. Our sterling one allows for your to monitor voltage and current on four different items. We currently monitor amps and volts on domestic and main engine batteries. No reason why the wind generator shouldn't be monitored by one of the other channels.
Yes, that is correct. It might be a rectified sine wave and can cause problems with some kinds of digital instruments. What you want to show is the average or RMS current, and all analogue ammeters give this - it is inherent in the design. Also far easier to read analogue, it is a better sort of display for a wind generator, and draws no running current. Should be far cheaper, too.
I have an Aero4Gen fitted on my boat. If you need ifo you can email LVM who know everything there is to know about them. According to my paperwork the 4Gen puts out up to 15amps at 40 knots windspeed. My ammeter was originally supplied by LVM, it has a range of 0-20 amps and their code for it is LVM67. If you wish to source elsewhere, LVM's advice is to fit a moving coil type. Install the ammeter in the positive cable from the windgen. HTH.