I came across this thread a little late, but really interested in everyone's reactions as I'm working on an electric conversion right now. For me it's just a fun project and intended as a city runabout, so range isn't all that important.
I actually converted my mini a few years back, so it's already registered as an electric vehicle, but it was rather a clunky conversion, with two fork-lift motors and independent chain drive to the front wheels. This time I'm trying to get it right.
For Mark 2 I'm using a Seat Ibiza gearbox and plan to mate this to a 50 kW (67 hp) AC motor that's also used in the Zero electric motorcycle. I spent yesterday machining the mini CV cups so they will bolt on to the gearbox output flanges. The battery pack will go in the back seat. Not decided which batteries to use yet as they keep on improving, so it makes sense to leave that decision until last. Right now Nissan Leaf batteries are the easiest and safest to use. Range should be 60 miles plus, which is enough for my needs, and also means you can use a lighter battery pack and keep recharging times short. I plan to start a build thread when I've made some more progress.
Lots of DIY converters are starting to use OEM components now, as you can buy them relatively cheaply from dismantlers. The downside is that they all run on high voltage, and the original controller needs to communicate with all the other system components by CAN. To get around this several people are working on replacements for the stock controllers or hacking them so that they can be controlled directly. There's loads of information on the DIY Electric Car forum.
There are lots of possible ways to convert a mini, but one of the most challenging parts is finding a drive system that will fit without major modifications.