Well I think the US is to far gone in terms of gun ownership to risk disarming the police.
As much as I would love for the US to be able to viable strip gun owners of their weapons and as a result disarm the police, doing so is simply not viable due to the number of people who will likely own a gun with no official record of it being kept.
The UK has an advantage in that gun ownership simply is not a thing bar a few criminals and in some cases for hunting. As such arming the police isn't really necessary in the day to day running of a police force.
The most that a typical American progressive expects our society to be able to do in the near future with guns is pass very reasonable gun regulations, mostly enforcing and tightening up loopholes in laws which exist, and getting rid of mass murder accessories like extended magazines, automatic weapons (already banned to civilians, but many legal semi-automatics can be modifed to be automatic), creating more paper trails and background checks for second gun reselling, etc.
What's sad is that when some autistic madman shot up an elementary school a year or two ago, there was the most momentum yet to get some sort of reform passed. Our president, members of Congress who have recently survived assassinations (Gabrielle Giffords), and countless families who lost children or parents in senseless shootings, millions of Americans and a majority of popular support, all for some common-sense change. Considering Adam Lanza took a bunch of firearms from his mother's unlocked safe, before killing her and 20+ children, you'd think restrictions on safekeeping guns would be one of them. By the time it got to the Senate floor (the more prestigious and sane of our two houses of Congress), the bill was nothing but making sure background checks were in place at all times to precent children and mentally ill from buying guns. Most Republicans, and even some Democrats in gun-friendly states, filibustered it, so it couldn't even get out of Senate with a real vote. Our president raged on live TV immediately after, was funny. The following year, guns were exclusively deregulated on the federal level even more.
Tons of people were outraged, but the gun-nuts I know all have a philosophy that any single law passed regulating guns is a slippery slope to repealing the 2nd Amendment (which says "well-regulated" right in it lol) and banning all gun ownership, thus causing some insane outrage.
Really its fucking frustrating. Also I'm an anti-gun progressive and I'm wanting to buy a handgun myself because most American cities are so shitty and overrun with violence and crime, you start to feel like you need a gun just to protect yourself. I just don't want crazies or criminals with guns.. which leads to every local small town police force having AFV's, M4's, body armor, drones, broad wiretapping.. then you run the chance of being murdered by a gangbanger, methhead, or a cop who assumes you are one of those and opens fire.. ugh