If the illuminate managed to create a global communist government similar to Stalin's Soviet Union then BTC would be a good currency for it. Everyone would be paid by the government and 100% of the income from business would go back to the government as they would own everything. Black markets would be kept under control by secret police and offenders dabbling in free commence would be dragged off to the gulag.
However, wealth is created by by innovation and a small group of people trying to control everyone does not have the innovative capacity of the rest of the global population. One mind cannot out think a million! The sharing of new ideas and inventions through the internet would have to be controlled for the NWO to succeed, basically, they would have to bring in a new dark age.
The future global society will be an anarchic utopia!