Hey Wellyfisher, I've done a fair few all-nighters around Wellington in the past, both in the harbour and both coasts and here's a couple of things from experience.
I've never used those $2 shop light tip things, but I would suggest getting some reflector tape from a hardware shop and wrapping loops around the top half of your rods. Much easier to see with the sweep of a headlamp as they light up really well.
I have also put it on my bait knife handle and rod stands as it's amazing how easily things disappear at 2am only 4 feet from where your standing. A quick check with a torch usually locates them.
If you have a decent lamp (coleman etc)it's a big advantage especially if you are fishing away from your vehicle. Try not to have it shining directly on the water as some think it can put fish off or make them wary. Put it behind your pack.
Moki might be getting a bit thin on the ground now but the big southern beaches would be a great chance for a big Grot shark (Smoothhound) if you have cray or crab baits available.
Red cod, possibly a Gurnard, spiny dogs would be more common around now. What about Makara Beach for a bid late Autumn Trevally?? Watch out for the big Conger eels.
The great thing about Wellington is there is always a spot of fish to suit the conditions, plenty of north facing beaches if a screaming southerly comes through.
I'd pack plenty of warm clothing and wet weather gear + hot drinks(or rum if you prefer).
If the fish aren't playing ball you could just head to Blanket Bay (home).
Hope this helps