Indian nay could follow three different doctrine in the future.
First one is 'Free Rider' stance, it largely relies on outside powers to secure the sea lines of communication and requires a minimum fleet. This is India's current fleet structure. It doesn't have to capability to deny another great power access to the IOR
Next iteration is 'The constable'. This is largely defensive in nature but asserts regional pre-eminence. Fleet structure with this would be multiple AC's that would enable India to fight a defensive conflict and deny another power competitor access to the IOR if necessary but it doesn't claim hegemonic power over the IOR. Under this fleet structure India would still allow navies like the US to operate in the IOR but would be very of possible rivals like Chinese.
Last one is the 'Strong man fleet'. This is much more aggressive towards outside powers and has the potential to be offensive. This could be a 9-10 carrier fleet and this would provide India with the ability to deny access to IOR as a whole to any other competitor in addition to projecting power into the pacific, Mediterranean and the Atlantic.
India naturally will fall within the free rider and constable range. The strongman fleet is possible given its growing resources. For US national security interests, the development of a strong man navy by India would represent a serious impediment to our own ability to operate. So question becomes what can US do to both ensure that India and US remains strategic partners but also avoid [prevent] the building of the strong man fleet to begin with.
For US its imperative that it maintains access to the IOR and that it keeps India co-operative. To do this, First is arms sales. Maintaining permanent deployment of forces to the IOR and more co-operation joint exercises and joint operations keeps US involved in the day today power structure and operations. If India feels its completely exposed at the sea and feels like its living in a somewhat chaotic environment it may move towards the strong man approach. The best way to keep India co-operative and its navy moderate is to maintain an active presence in the region because once the strong man fleet is built it could change the Indian's intensions. So for US if they are on a free rider or constable fleet structure they would rely on us for a great deal of their security and that's the best way to ensure the strategic partnership and India stays co-operative.