A very good thought.
I've long since argued against the ridiculously draconian gun laws we have in the UK. On this forum, I've argued repeatedly for a US-style gun law environment.
But ... if our two countries are ever likely to see an issue in totally different ways, gun control will be THE issue that'll create the greatest and sharpest disagreement. A former member of this forum joined a British blog site I was a member of (it now no longer exists), and mere mention of gun ownership brought her such vitriol from its other members that she was effectively driven off the site.
One member of that site even accused her of peddling guns, taking great exception to the very idea ... as though it branded her a criminal.
[I spent an entire afternoon on that site, doing nothing but defending her corner. It did no good ... and a couple of people there claimed that to argue as I did, I couldn't possibly be British]
No. Sadly, you may find agreement between Americans and Brits about Muslims, when that's discussed: but, when it gets down to discussion of action where guns so much as get a mention, agreement swiftly turns into strong disagreement. Our 'gun culture' has long been the polar opposite of yours (stupidly, in my view, but ... it IS).