Nope, first it would be Russia that would help India. Russia has been the long term trust worthy friend of India.
Ideally, yes, India should align with the West and probably wants to. But, without a NATO like equivalent that guarantees protection India gains nothing by aligning solely with the West instead of a known bad weather friend Russia.
Some initial read on Russia (USSR) helping in the 1971 war - https://government.economictimes.indiatimes.com/news/governa...
PS: this is just my limited understanding and how many see this in India.