Mit got it pretty quick (as usual) [and the fish is in the mail].
It is indeed the North American F-51D-30-NA ZK-TAF (c/n 122-41369).
It is in a special paint scheme as applied by No 3 Sqn RNZAF at Wigram for filming of a Tiger Beer advertisement.
It was reverted back to its NZ2415 scheme again by No 3 Sqn.
Below - this is how we normally see it.
Taken at Wigram on 23-02-2009.
This Mustang has been boring holes in our skies as ZK-TAF since 24-01-1985 after importation by Tim Wallis/Alpine Helicopters Ltd.
It has no connection with the RNZAF - After service with the USAAF between 1945 and 1951 it went to the Royal Canadian Air Force until May of 1959.
It then went on the US civil register until sold to 'Sir Tim'.