I personally would not give my DNA for ancestry, basically because I don't trust the security of the data base from hackers and USA laws on the like of the FBI accessing it. OK !! - - if your an honest law biding citizen, it could be said you have nothing to worry about, yet ! but say your DNA was a near match to some unworthy character or of an unknown direct cousin living in the USA ( like if your were brought up an adopted child), who was unworthy and brings unwanted headache interest in your DNA enquires or hassle at your front door.
There is a definite issue that DNA testing will continually expand the reach of law enforcement to track down criminals. Also, it will eventually be YDNA that really narrows it down as we are now routinely assigning mutations (combination of YSTR and YSNP) to proven ancestors on our pedigree charts. Your lack of participation is really not going to protect you as the testing databases continue to grow at 30 to 40 % per year for YDNA and more than 50 % per year for atDNA testing.
But family histories are also being used by law enforcement as well. DNA by itself does nothing unless you have the person testing made available. Law enforcement has the right to access this kind of data via court order. It is very rare most law abiding citizens to get caught up in this usage but it could happen. But on the plus side, a lot of serial killers are being put away at the same time. So I think the good far outweighs the bad.
Just under my haplogroup R-L226 (very Irish), we now have nineteen surname clusters defined by YSNP and YSTR combinations. So if you belong to these clusters, there is a 60 to 90 % chance of having a particular surname. There are also 84 well defined branches under these surname clusters and another 192 testers with unique YSTR marker values. The descendants of King Brian Boru lead the way with 22 branches defined underneath this surname cluster and another 38 testers with unique YSTR markers. I am now able to chart 90 % of the 700 testers at 67 markers on how they are related to each other with 60 to 95 % accuracy.
We even now know that King Brian Boru was part of DC33. We know that all of Y5610 and DC291 are actual descendants of King Brian Boru and that the large branch DC36 may later be proven to be added to this list. In ten years, we will have four thousand testers and will identify 100 to 200 surname clusters with over 80 % of the testers having unique markers for each tester. In ten years, we will have dozens of YDNA mutations assigned to actual proven ancestors on pedigree charts.
Avoiding testing yourself will not help any as your cousins will test anyways - except the criminal types who are unlikely to test (but their DNA is usually on file already with previous offenses).