I can't speak for police, but for military, i could see this being an actual life saver for an infantry rifle platoon or medical emergency. It could run in with extra ammunition or medical supplies enough to stabilize any injured. This same thing could be used for civilian emergency situations or disaster relief for hard to reach areas that a normal vehicle might have trouble reaching.
Why spend money on training and maintaining a human infantry at all??
If one of these things, maybe the more advanced biped version could be bought for $1M it would have to be cheaper and more reliable than a human. No salary, no pension, no health insurance, no time off, no training hours, just pure measurable, reliable killing. I guess there would be a huge crew of maintenance engineers though, but maybe automate the servicing too.
For one, machines haven't (yet) proven as capable as them in dynamic situations. The tech both hardware and software simply isn't there yet. The fact that these Boston Dynamics robots are both loud, and have a relatively short battery life cements this current fact. This problem will likely be overcome in the next 5-10 years or less. That kind of makes it a nonstarter in and of itself. As it stands today, it is the same reason you don't (yet) have machines replacing fast food workers. The economics for most places or the actual tech simply isn't there 100%. Not yet at least.