OCD is a disorder of a particularly punitive superego. (conscience). Sociopaths and Psychopaths have only very intermittently functioning super-egos. Therefore, if you're in the midst of an OCD tailspin, it's pretty much impossible for you to be simultaneously becoming a sociopath.
But, as you know on some level, in order to cure yourself of your OCD, you have to loosen up your super-ego. And you know what they say about deconstructing parts of your superego: you can break it down but it won't grow back.