You can always trust the government.
I have not participated in this DNA stuff, but I don't condemn anyone that has nor would I call them foolish.
You want to see foolish, you can always read a PARF thread.
http://forums.pelicanparts.com/off-topic-politics-religion/945194-all-big-ancestry-sites-owned-mormons.html
Don't worry, your DNA is all safe, it's in a big cave.