Depends on what you mean by "the Labour Party in power", aken. I doubt if Jeremy Corbyn would fawn on Trump, but I have no doubt at all that his opponents in the party would.

There's no point in getting all hot under the collar about Trump, but that doesn't mean business as normal. It's as if America has contracted a dangerous and contagious disease. You don't want to get too close to it, but you don't indulge in hate or hostility either. They"ll get over it in time, but there's nothing we can do to hasten the process.