"Members of the Jury, if you accept the scientific evidence called by the Crown, this indicates that there are probably only four or five white males in the United Kingdom from whom that semen stain could have come. The Defendant is one of them. If that is the position, the decision you have to reach, on all the evidence, is whether you are sure that it was the Defendant who left that stain or whether it is possible that it was one of that other small group of men who share the same DNA characteristics." - Phillips LJ, cited from Wikipedia article.
To be truly effective as a tool in prosecution, every man, woman and child would need their DNA profile kept on record, and British public records, up to and including massive numbers of tax returns (http://www.dailymail.co.uk/news/article-1082402/Tax-website-shut-memory-stick-secret-personal-data-12million-pub-car-park.html), have a history of being woefully insecure. None of this bodes well for much of anything.