The first portion of the Trimantra represents the Jains, then comes the portion for the Vasudevs and the last portion represents Shiva. And 'Sat Chit Anand' includes everyone: the Moslems, the Christians, everyone else. Jai means glory. Sat means eternal. Chit means the complex of vision and knowledge. Anand means bliss. Therefore, Sat Chit Anand means that the pure awareness of the eternal is bliss.
Therefore Sat Chit Anand encompasses the mantra of all people.
When you recite the complete mantra and because it is an impartial mantra, God will be pleased with you. If you remain partial towards one mantra and keep saying 'Om Namah Shivaya', it will not please the representatives and protectors of the path of other Gods. By reciting them together, you keep all of them happy.
The path of liberation through reciting the Trimantra is for the one who is beyond any sectarian insistence of his own mantra. It is for the one who sublimates his ego, insistence and opinions and accepts the Trimantra.
There are still many different kinds of people in India. It's not as if India is done with. It can never come to an end. It is the heritage, the core birthplace of all the Aryas - the original race! And a land where tirthankaras were born! Not only the tirthankaras but the birthplace of all the sixty-three shalaka purush, such is this land!