Imagine the cost of this database then remember the governments record on IT projects. The passport office and medical training system both cost millions, if you remember private data from MTAS was publically available for a while. I dont want those idiots having access to my DNA record. How long would it be before the government decides its too expensive for taxpayers to finance this database? Suddenly they announce it will be self financing, they sell the information to the highest bidder, insurance companies, medical researchers, private health insurance companies and the rest. A few months later you get a letter from your life insurance company saying they will have to quadruple your premium because you're a worse risk than first thought. Then your GP gets in touch, suddenly he wants you to move to another practice, he wont say why. It might seem a bit extreme but your DNA is your private property, keep it safe or they will use it against you.
End of rant