.....which parts of your DNA tells anyone what religion you are?
If you're Jewish, quite a bit of it. Having your DNA on file is about as effective as stamping a big, red, 'J' on your ID card.
The danger with DNA is that people believe its absolute. That's because when you've identified a suspect with a probability of, say, 1:6000000 from a group of 50,000 then you've probably got the right guy (note, *probably*). If the sample is larger then the chances of the right guy being unique go down. If the techniques are applied sloppily (which they were in at least one large lab in the US) then that adds up to a whole load of mis-identified people. But since we now all believe DNA is infallible nobody's going to believe you when you protest your innocence.
DNA has been used to free prisoners in the US who've been in jail for decades. But often the cases against such people were flimsy in the first case -- typically a confused eyewitness, coercive interrogation, de-emphasized exonerating evidence and a black or brown face is the formula that got the guys in jail in the first place. DNA's used to force reviews of these cases; naturally government doesn't like to admit sloppy police work, bias, predudice or any of the other more obvious problems so you've got to use a scientific sledgehammer to crack that nut.