Thanks for your response guys. I agree with @Exubery, traveling by road is too risky in those regions. I discussed this idea with a few of my other friends as well and I think I should schedule this trip for some other time. Below are some finding that i would like to share with you guys.
1 - Its hard to get Indian visa these days, you must have some close relatives in India if you want to apply for a visa.
2 - Even if you get the visa, that is no guarantee you will be allowed to enter Goa. There is some other permission required for non-Indians to enter Goa.
3 - Traveling inside India with a Pakistani-registered vehicle is very risky, security officials and others might mistake you for a spy or something.
Thanks again for your response.