Matt, the information on citizenship and residency on the government portal is accurate when following the formal channels. There is a residency test (need to be in Mauritius for a certain period of time) when applying for citizenship.
It may be that you should get residency first. This involves applying to Immigaration : http://www.gov.mu/portal/site/passportS ... 0a0208a0c/
but check the time needed in Mauritius and see if you can go straight to applying for citizenship.
If in doubt call into the government department in Port Louis and they'll give you the information you need. Prime Ministers Office deals with citizenship, Immigration with residency. Remember they all take lunch at the same time so don't go around midday to 1.30.
I haven't got to a citizenship stage but the guys in Immigration (on the mezzanine floor, far end from the stairs, the office facing the stairs, in the left corner as you look from the stairs/lift) helped with residency - though the process took much longer than they said it would. I give you directions as the first visit had me being sent from floor to floor for over an hour. Also be aware your birth and marriage certificates will likely need to be stamped with Apostille of the Hague Convention stamp which is usually done in the country of origin, not by the local consulate of your country in Mauritus - but check this also. Also a current (less than 3 months old) police clearance (certificate of morality) is needed from your originating country when you first apply. The 3 months may expire in the process but it seems as long as they get it inside the 3 months they're happy with that.
Funny thing I've found with Mauritians is that they are pretty helpful but often will tell you what they think is the process, rather than what really is the process because they don't really know but want to help you as best they can. Though your policeman friend may know someone who can quicken your process ?