Joe, I wasn't involved with the motorcycle fleet in the 70s. I did go on a tour of all of Harley's facilities in Milwaukee in '72, but didn't know at that time that I'd be involved with fleet management later. So I never knew Honda to market a police bike.
During the time I was fleet manager, BMW loaned us a bike for a little while, as they did all over the country. They claimed that 85% of the world's motorcycle police rode BMWs and that they were going to take over the business in the USA. It wasn't long before they backed out. For one thing, the American officers are apparently the only ones who insist on "running boards" instead of foot pegs, heel and toe shift instead of just toe shift, and BMW was also doing some experimenting with different gearing than they normally used. I don't know where they are with that now, but I do know a few cities currently use BMWs. In Dallas, it seemed that the smaller officers liked that BMW and the bigger guys did not.
I'm sure you know how reluctant many people are to change. And that's as true for cops as for anyone else. I can remember in 1966 when Dallas bought their first police bikes (Harleys) with foot shift. The motor jockeys were quite upset and everyone wanted to be the last to give up his bike with the foot clutch and hand gear shift.
As for the high speed wobble . . . that's still debated, but basically it was blamed on improper tire pressure to a limited extent, and to a greater extent to improper air pressure in the front fork. Of course driver error was also blamed. It seems the wobble would happen so fast that when the rider felt the bike go one way, by the time he could attempt to correct, the bike was already started the other way, so he over corrected, and things just went downhill from there. The Dunlop tire company produced an interesting video in Great Britain that you almost had to see to believe. They had a light weight rider who would get a bike to wobbling so violently that it would sling his feet off the pegs, but he would make no attempt to stop it except to lean forward; i.e., shift his weight more to the front wheel and the bike would straighten itself right out. With a heavier rider, the bike would not go into a high speed wobble at all.