I don’t think US police would address the situation much differently if they had the same advantage in numbers.
You can actually watch dashcam/bodycam footage of police shootings. In situations where the suspect is armed with a bladed weapon, there’s usually an attempt to call for backup and subdue them with less lethal means. It’s just that there’s more often 1-2 officers instead of a dozen onscene.
Also note that, in the clip you shared, at no point does the machete-wielding suspect break into a full-on sprint towards any of the officers. In the police shootings I’ve seen, that moment is the one when police open fire, and rightly so: human reaction time is such that a knife equals or beats a gun within 21 feet or so. This is why you see the British cops backpedaling whenever machete man turns to face them—American cops have done the same in the footage I’ve seen. Also consider what would have happened if machete man here actually made an honest attempt to start killing officers. He would have been successful.
And it’s not like British police don’t use lethal force when it’s called for. Just look at what happened to the terrorist on London Bridge.