Of these, mole and kilogram are dependent of the kilogram.
edit: this is a good, if maybe a bit misleading, illustration: http://www.nist.gov/pml/wmd/metric/upload/SI_Diagram_Color_A...
Did you make a typo? While it's technically true that the kilogram is defined by the definition of the kilogram, I just wanted to make sure.
That system is mostly irrelevant for cultural and legal purposes. Even in the specific philosophical framework where getting rid of the kilogram 'absolutely essential', the current importance of the kilogram would simply migrate to the importance of the specific conversion factor to traditional units.