Haven't used bar muffs on a bike since the late 80s, not since heated grips became more readily available. However, this thread might give you some food for thought...
http://www.xt660.com/showthread.php?t=18436
On the Tenere I have had Oxford Hot Grips, which worked OK till the controls broke. Then I fitted Symtec grip heater pads, which were infinitely better...
http://www.windingroads.co.uk/shop/product.php/116/symtec-motorcycle-heated-grip
Now I swear by heated gloves and vest by
Gerbings - not cheap, but I would not go back to heated grips again after experiencing the loveliness of heated clothing.