Yup, and a degree might not have anything related to what the police actually do.
A lot (most) of what they need to know can be learned in training, along with how it's applied in the situations they are likely to find themselves in, and the law relevant to it.
A lot of the problems people seem to have with the Police have nothing to do with the level of education they have, so much as the attitude and/or lack of common sense or the loss of their discretion when dealing with certain situations (not to mention the odd edict from on high that contradicts how the courts have decided the law should be enforced).
A lot of things can be learned in training, but if someone has a further aducational background (not so much a degree, possibly a course to join a police force or at least A levels) suggests that they are intelligent and that the training they receive will when coupled with their education leave them in a better place for making decisions.
If someone is not very intelligent, say very basic maths and english skills which is what is required, they are more likely to stick the rules with an insane obsession as this is something they are comfortable with and requires no extra thought. They do not want to put themselves in a position where they could be challenged or are called out for being wrong because they make a mistake.
You meet some cops who are not really educated and this will effect their performance no matter how well they are trained. Whilst it is not a guarantee generally skills such as an analytical ability, the ability to "think outside the box" (what I would say meaning knowing when to and when not to apply the rules) can be well developed in certain study areas.
Personally I think the idea would be worth looking into, it certainly could not do any harm, I mean someone with an iota of sense would not have responded in the way that the copper did in the above thread about the "peado dad"