I'm certainly not against this idea; it would be great, but you simply can't attain any skill without time on the mat. And being a cop is a job, you have to pay these people for their time, both in the academy and later, and time on the mat rolling, is not time on the street patrolling.
I just don't think any city is going to spend the money.
Yeah, that is the problem. Unless youre going to a "McDojo", its going to take 2 or 3 years to get a blue belt. Also, not every person will obtain a blue belt. It doesnt matter if you spend 20 years grappling, if you arent good enough to be a blue belt, they wont give you one. There are no participation prizes in BJJ. They take that shit seriously.
When I got into grappling, it was because I was bouncing drunks and wanted to be able to end a fight without beating the living shit out of someone...... I needed to learn how to choke people. (I also learned that a quick foot sweep will put a drunk on the ground and they usually have a hard time getting back up.)
A couple years later, the first UFC came out, and all of a sudden
everyone wants to learn BJJ, but there weren't hardly any schools for it around then.
I had just joined the Army, and Ft Bragg had a wrestling team and they let me train with them. (translation: I was a 180lb grappling dummy) I learned a lot, really fast, though. Then I found a judo club off post and started learning some submissions and throws, (and in a real confrontation, a well-executed throw will usually end the incident, or at least give you an opportunity to get away.)
Anyway, as more and more BJJ clubs started showing up, and as it was spreading through the Army, the little bit of wrestling and judo I had done was a big help when I rolled with them. And I still regularly surprise BJJ guys with throws....... a lot of them really should spend more time working their throws.