Actually, the records are already public, remember the fiasco where Telecom Regulatory Authority of India’s Chairman RS Sharma had posted his Aadhar number online.
The whole point of the Aadhar Challenge was to demonstrate leaked database/Aadhar number is not an issue. Apart from the curated datasets that can be bought even on Facebook groups, it is actually very easy to mine large datasets from Google itself.
I don't want to post any direct link to anything but you are google 'Aadhaar data leak through Google search' to vast amounts of links/references. Kinda Meta right, I know. If you want to know more about the incident you can google 'aadhaar challenge'.