I don’t believe the UK would be supporting Ukraine the way it is if the US was not also. Other NATO members follow the US lead.
That said, I agree with supporting Ukraine, despite Russia’s nuclear sabre rattling. If we allow nuclear rogue states to use that threat to give them almost complete freedom of action they might get the idea that they can get away with anything short of a direct attack on a nuclear armed state. At that point you can kiss goodbye to the nuclear proliferation treaty. Every nation state will be rushing to get nukes to protect themselves, and in the longer term this will only increase the dangers of a nuclear war because the last thing we need is more nukes in the hands of unstable regimes that could be run or taken over by millinarian religious nutcases in say, the middle east.