Please help: Mother and father name is not matching with birth certificate

[Shweth]

Hi,
I am currently living in USA and my indian passport needs to be renewed in a month.
I need to correct the information in my passport so that it will be helpful for applying visitor visa for my parents.
Below is my problem:

In passport:
Surname :: Sundar
Given Name : Shwetha
Which is correct with my birth certificate


Father Name (in my passport) : Rama **** *i Sundar
My Birth Certificate : Father Name as Sundar
Father Passport: Surname as Ramamoorthy, Given Name as Sundar


Mother Name(in my passport): Sundar Sita
My Birth Certificate: Mother Name as Sita
Mother passport: Surname as Dixit , Given name as Sita

My parents are planning to apply their Visitor Visa to US.
1) Will it be a problem as the name in my passport, my birth certificate is different from their passport?
2) Can I change my Father Name as Sundar and Mother name as Sita with no surnames in the Indian Consulate in NY? If so , what are the procedures ?

Please help!