I don't think that the Sates of Jersey would have a choice in the matter of licensing.
They have to date, chosen to follow the UK CAA licensing and standards, if they suddenly decided that they wanted to follow a seperate path, they would be required by the EEC in the form of EASA, to set up their own equivilant of the UK CAA SRG, not only for ATC but also the whole of Aviation within the States of Jersey.
We all know that that there is not the technical or professional proficiancy within the Channel Islands, let alone the political will or financial competence to set up what would be such a realtively large organisation for such a huge cost to the Islanders.
Just in case anyone doubts that, bear in mind that the current enormous Eurocontrol funding to the States of Jersey for providing cross channel ATC services, makes the difference between profit an loss to the tax payer for all the "States" airports.
I for one would be more than happy to see the States of Jersey go it alone, let their residents wake up to the real costs of what it costs to run their airports and ATC services when there are no European subsidies available and tourism no longer pays for what they previously took for granted.