Ha, no no that makes way too much sense. Let's figure out a way to break the law and get away with it.
That's not the purpose of the fifth amendment, and it's not the reason of the whole debate. The fifth amendment protects the basic human right of a fair trial. Without the fifth amendment you could be forced to admit a crime that you didn't do. without the fifth amendment cops and judges would have the ultimate power of life (ok, they sorta have it).
And no, it's not right to incriminate an innocent in order to get a guilty part.