Make sure the UV5R is really transmitting the tone - it likely has the ability to separately engage CTCSS transmit and receive tones. You may have yours set up to receive 67.0Hz but transmit no tone or a completely different tone which is why it hears the Dakota but the Dakota is not "hearing" (really "un-muting") the UV-5R.
Also, do you have access to a tone search capable scanner? If so just set the scanner in tone search mode on the correct frequency and see what both radios are really transmitting. I'm not sure if the 5R has a tone search capability but if so you could use that also.
The so-called "privacy tones" are usually manufacturer-specific; MURS, generically as a service, doesn't have a "special privacy tone" arrangement.
Another thing to check is the transmit deviation - the UV-5R, I believe, is capable of "narrow band FM" or "NFM" modes as well as standard FM. The Dakota is likely setup as narrow +/-2.5KHz deviation as that is what current MURS regulations designate for the first three MURS channel frequencies (the 151MHz ones). So make sure that the UV-5R is set to +/-2.5KHz deviation ("narrow band") FM for both receive and transmit as well as receive and transmitting the correct tone or else the Dakota may not unmute the receiver properly. Over deviating an FM signal can cause its modulated information to fall outside the passband of a receiver set to receive a narrower deviation limit.
-Mike