No, The two types of consoles have different region encoding.
This is called Region Lockout (or Region Lock).
They are incompatible. UK games will not work on a US wii. The UK use a PAL (Phase Alternating Line) system whereas the US use NTSC (National Television System Committee). There is a CD called Freeloader which should allow you to play games from different regions on your US wii. i.e JP and UK games will work on the US wii with the CD
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Not fully.
Actually they don't because they are REGION LOCKED. This means it can only play video games from the same country or region that it was purchased from. If you have a US bought console you will have to buy US/Canadian games. If you had a UK bought console you would only be able to play UK games.
probably not unless you mod your Wii
You will get wii sports with your Nintendo wii you do not get it as an extra game its a practise towards the wii consoles remote and nuchuck etc. however you get a preowned wii you may not get the wii sports with it.
It will work if you can get a UK power adaptor for it, and if you have a NTSC compatible TV, but you will only will be able to play games from the US, not ones from the UK.