What's the problem with just politely saying, "Can you please not interrupt?"
I'm assuming this option has already been exhausted and didn't have any effect.
I've worked with people who prefer to apologise all the time instead of changing their behaviour. When you bring that up they... apologise and move on.
Do a God of War on them: "Don't be sorry, be better". Apologising comes quite naturally for a lot of people, because apologising is easier than changing unwanted behaviour.
I've become aware of that recently because of reasons, and I think it's all right to not just drop it after someone apologises. It's all right to not accept an apology if the underlying behaviour isn't changed.
If a problem continues to be a problem after having some polite conversations about it, then it's time to take the conversation to managers. It's then the managers' role to find a solution.
If it keeps being a problem after that (only in an extreme minority of cases would this be true), then yes, I'd transfer or look for a different job.
But engaging in a war of talking over each other is just stupid and immature. I have kids, so I guess I prefer the workplace to consist of adults acting like adults.
I'm assuming this option has already been exhausted and didn't have any effect.
I've worked with people who prefer to apologise all the time instead of changing their behaviour. When you bring that up they... apologise and move on.