The UK trying to copy things from US politics is always eye-watering levels of cringe, remember Boris's briefing room and the bloody lecterns? FFS US-style brashness in British politics is almost always painful to watch in general, makes us look like a bunch of Ancient Greeks trying to convince everyone but particularly ourselves that the Romans aren't entirely in control these days. The briefing room itself isn't even used now thanks to Partygate starting from there and grinding what remained of public faith in the state into a fine and mildly carcinogenic dust.
Our best post-war PM was clearly Clement Attlee and he was famously chill, his skill was managing a cabinet with a lot of the big personalities and managing consensus. Every PM since the man himself has wanted their Churchill moment, but the country would be far better if they all sought an Attlee legacy instead. Except the Town and Country Planning Act, that needs catapulting into hell with extreme prejudice; you can control US-style sprawl without giving NIMBYs a direct veto over everything.