Most tvs in the uk are able to support a NTSC signal which a usa wii will emit. So yes in turn it shud work by using a converter for the power.
Im however having difficulties getting my wii form the UK to work in the USA so im kinda in same situation as you except i need a tv that can support a PAL signal that my UK wii is emitting. I hear multisystem tv will do it but its case of finding one
get a UK power adapter on eBay for a tenner, and your wii will work in the UK, also if you get games on the internet from the states its still cheaper than games in the UK. I have a US wii here, and it works great