https://www.google.ae/amp/s/amp.livescience.com/28634-indian-culture.html
As sir Ugly has previously mentioned, Indian culture is a result of fusion of different religions (Sikhism, Jainism, Islam etc)and hence there isn't really a common tradition followed but amongst the community. Yes, it's traditions have been developed from Hinduism and Buddhism but later on due to the arrival of Mughal empire India became home to other religions as well. There are Tepees, totem poles, peace pipes, moccasins in the Native American Indian culture on a short notice.
Perhaps one can relate the Indian culture with Ayurveda, Sanskrit, Veda, chutneys,Taj Mahal, Biriyani....Perhaps they are stereotyped but to answer the main question
There are contrasting differences in both cultures...for instance there are tribes in NA Indians while this can't be the same for the traditional India as India was formerly made up of separate kingdoms.
I know, my answer is incomplete ... Pardon me... 'This a complex query!:/