By selecting and rearranging several different coding sequences from three different chromosomes, each lymphocyte develops its own antibody "design", permanently changing its own genome in the process. This is what allows us to develop immunity to a broad range of foreign antigens with a relatively small amount of genetic code. Think of it as an "immune alphabet", if you will. You certainly don't want to interfere with that!
Other rearrangements also occur, some harmful, others not so much. Even if you wanted to target just the bad ones, though, a virus really isn't the tool for it. Your cytoxic T lymphocytes already do that. In fact, what you're really describing isn't all that far off from what we already have. I think we even have mechanisms for genetic error correction and repair, but I'll have to hit the books again to double-check that.