How can I speed up the citizenship process?

There is no exception for police officer applicants regarding the 3-year period by which (most) Permanent Residents married to U.S. citizens must wait before being eligible to apply for naturalization - but note that one may file an application as early as 90 days before reaching that 3-year mark. Of course, it is possible to file an application for naturalization before one is eligible, but that application would be denied for lack of eligibility. To maximize actually obtaining naturalized citizenship at the earliest possible time, it would be wise to work with an immigration attorney who could represent you in preparing a properly completed and fully documented naturalization case for filing on the first day of eligibility. Failure to properly prepare an application or to provide a full set of supporting documents can result in substantial delays and even more harsh consequences.