It’s more or less a non-starter for a host of reasons. For one, how long can a 50+ year old ship serve with a customer?? Two, US carriers require a crew of more than 5,000 personnel. That’s almost three times the complement on the current Indian carrier. It will take a few years for any navy to build up a core of thousands of sailors, technicians and of course pilots for a US-style CVN. Three, few Indian naval bases can take a ship the size of the Enterprise.
The only country which will likely build similar ships is China but that will take at least another decade.
Are there any design/security concerns with giving the nuke plant to another country? Assume that the Indians, recognizing all of the problems you stated, still decided that they wanted to take a shot at making it work..theyw ere willign to risk it...assuming that we'd provide crews to train them..would you be inclined to give them the carrier? Again, strategically it's gonna make the Chicoms think..