Yes I would.
And I think those that say 'I would drive straight toward the nuke' are mostly full of shit. People think it's a cool thing to say but it's not realistic.
In emergencies and sudden disaster scenarios, the human instinct to survive is innate and strong. If you had an out of the blue 15 minute warning that a nuke was about to drop and you were in the immediate blast zone, the vast majority of people would be panicking and racing for the car to try and survive. No, you wouldn't be serenely making a cup of tea and staring off into the distance like in some God-awful daytime movie 😂
I also think most people over-catastrophise what would happen if a nuke dropped on the UK. I mean, it would of course be awful and if you're in the blast zone, you're fucked obviously...but the UK is a big place and the impact lessens the further away you are. I think lots of people think of the entire UK being like some post-apocalyptic scene, with burning skyscrapers and desolation everywhere. But outside of the affected area of a nuke, physically you and your surroundings are good.
If, for instance, they dropped the largest nuke know to exist on central London...if you live in Swindon, you're fine. Not so much as a cracked windowpane or upset stomach. No increased risk of cancer. The immediate impact on the majority of the UK would be NIL.
Life would of course change. So many impacts on the economy, life would be hugely disrupted, more people would die due to food or water or medical shortages. But the impact wouldn't be SO much that i'd rather me and my family just died. I'd want to give survival a decent shot. In 100 years, a nuke on London would be a history book disaster but not an apocalyptic event for most of us.
That's 'A' nuke though. Obviously in a full blown nucleur war it would be different but for that to happen you'd need every world leader to collectively decide to end it all and deploy everything they have which I don't think is very likely.