What do you think would have ahappened if India earlier accepted US overtures, it offered China's UN seat and 1962 assistance... Would the carrier task force diplomacy occured in 1971 if India and the US already had a relatively good strategic arrangement? The most the US could have done granting it still maintained relationship with Pakistan ws to declare neutrality. Note that the US reproachment policy towards China did not take place until 1971, and seriously in 1972. This was probably only after the US realised that its India engagement policies will go nowehere...
The Americans never look for "allies". They either look for
slaves or
subordinate partners. Every single "ally" of the US falls into these 2 categories. The US wanted to similarly cultivate such an "allied" relationship with India.
However, what they failed to understand is that India was for thousands of years prior a great power in its own right, and after independence, Indian leaders sought to restore the nation to great power status. Becoming slavishly dependent on US assistance or toeing US policies just so that the US would consider us an "ally" was
out of the question. This strategic independence of India, including accepting assistance from the West as well as the USSR, forming the NAM, preaching non-interference of the great powers in the third world and supporting decolonization was totally opposed to US foreign policy, which was mentioned earlier was to cultivate slaves or subordinate partners.
The US' typical policy was to use its capital and business to capture a foreign, usually third world nation's resources, and then protect its business interests through threats or use of military force. The sad history of Latin and South America is replete with US sponsored coups, massacres and military dictatorships to protect American business interests.
India was naturally opposed to this exploitation of other third world countries, and in it's opposition, it found a partner: the USSR. The USSR was founded on the basis of the idea that private capital was a bad idea and that capitalists are the bane of civilization. In the US' actions, the USSR's ideological views were confirmed.
It was illogical to expect India to be on the same side as the US during the Cold War. India's policy was third-world solidarity and independence, US's policy was third-world enslavement for its economic benefit.
Also unlike Pakistan, India was not willing to become a US stooge either just to be a so-called "ally".