No.

Such a database has been proposed (and in the case of the military implemented) in the US. It was felt that there was too great a chance that it would be used, for instance, by insurance companies to refuse to insure those who showed a genetic propensity to breast cancer or other genetically-linked disorders.

Moreover most crimes are NOT solved like on CSI, but by dint of good police work and stupid criminals. Two young men were recently convicted here of first-degree murder and intent to commit the same -- not by DNA (although some of their DNA was found on knife used in the crime) but (for one reason) because they videotaped themselves before and after discussing the crime!

The military database exists (and I believe you can opt out of it) to help identify casualties. Tripping a 155 mm artillery shell rigged as a booby-trap (oops, IED) really leaves very, very little of the tripper....

No. Not only no, but HELL no!