I agree that the idea is heavy handed and a bit patronising, and hence doomed.
I suspect a better tactic, if the OP feels that some police may be underinformed, (as opposed to uniformed

) would be to get to know the local beat bobbies and PCSOs, and build a good relationship with them, as a way of getting a chance to occasionally get a point across. Never to rant or lecture, but simply to be a sort of positive role model, who sometimes explains the sort of things like road positioning that so many people, cyclist or not, are unaware of. If you have a good relationship with a serving officer, you might also be able to occasionally make the point that some cyclists sometimes feel let down by the police after incidents - but you need to be on firm relationship ground before you start that sort of thing, otherwise you just come across as badly as those who rant about 'lycra louts'.
I know I, and others, have seen PSCOs on bikes, often riding in less than ideal ways (saddle too low, in the gutter, maybe riding on pavements). Perhaps there might be some mileage in offering training to PCSOs, so that they see why some things are done in a certain way, although I think as others have said, this would come much better from an organisation with credentials than from an individual.
The third way is to approach the local police with a view to partnership over road safety training for cyclists and others, and to use that opportunity to tactfully inform any officers who seem below par - again, much better as part of a proper group.