Re point (1), it's definitely not just guns. In the US:

- Suppose a vehicle chooses not to stop. What's the safest way to complete the stop? High-speed chases are dangerous. The eventual spike trap or pushing the tail end of the car or whatnot is dangerous. The fleeing person won't be in a sound state of mind for safe driving even if not followed. Toss in a little human error like forgetting to turn your lights and sirens on, and these are predictably extremely dangerous. Just under 1% end in a fatality.

- There's an elevated risk of wrecks, side-swipes, and whatnot by virtue of being on the side of the road, often in dangerous areas.

- Most assaults on police officers don't involve guns. There are something like 7-8k assaults on officers due to traffic stops annually, despite knowing they carry guns. A little over a hundred of those result in serious injury to the officer, most of which don't use guns in the process.

- Don't forget injury to the passengers. 100k/yr are injured by the police at a traffic stop. Again, that's usually without guns. And why wouldn't they be? The police have nearly a carte blanche, and they're being placed into an environment where they know they're at risk, with perceived risk being higher than actual risk.

You mention the UK, so how do they fare? They have 100x fewer traffic stops, so I'll scale up the numbers accordingly. In particular, that means they have 2.5x officers injured just from vehicles being rammed during stops than the US has assaults on officers in total. That's suggestive of gun violence not being the entire story regarding traffic stop safety.

Mind you, that's not quite apples to apples. The UK has 5x fewer people and 2-3x fewer miles driven per person per year, suggesting we're missing another factor of 5-10 when trying to figure out why the US has more traffic stops, and my first guess would be that the UK police have a selection bias toward more serious offenses, so the higher safety rates of the US police are at least in part due to pulling over a higher share of less violent individuals.

Nevertheless, it's not just gun violence. Traffic stops are dangerous elsewhere too. (not to be interpreted as a comment on gun policy, rather that it's annoying to see important conversations like consequences of traffic stop safety derailed by irrelevant nationalistic swipes and jabs)