The heated bike clothing considered to be amongst the best is a brand called KEIS - their Vests,socks and gloves all run off a power socket - as in the M3W
There are similar brands as well. I would be sure that this kit would work well in the M3W
IMHO and as a biker - you do not get nearly as cold in the M3 as on a bike. The bodywork really helps to minimise the wind-chill factor - and even the flyscreen plays its part
This time of year I am wearing a cold weather textile jacket and thick bike gloves - both work so well I have hestitated to buy heated kit
hope this helps
