Yes, that could well be your John Calvin in the 1930 CA census. Hard to say for certain though.
One big problem - in the 1870s in almost all states in this country, it was illegal for a Caucasian to marry a non-Caucasian. That's not to say that Caucasian males and non-Caucasian females didn't form an alliance, live together as though they were legally married, and produce children because that did happen. However, that might not be the case in your situation. If John was raised only by his Indian mother, then he might have been recorded by an Indian given name, etc.
The only other thing for which I have a record is from the Dawes Rolls - enrollment cards dated 1898 to 1914. Very scant information but it does list this under Cherokee:
John W. Calvin; male; enrollmente type; parent; card 11023.
Believe these cards are available for viewing at the South West Branch of the National Archives at Fort Worth, TX. I don't know if there is additional info on this particular person and card such as an age, percentage of Indian blood, and so forth. I have no idea if the above John W. Calvin has anything to do with your John Calvin or not.