I'm sorry, but I couldn't find any information about a specific bill introduced by the Senate India Caucus to add India to the NATO Plus bloc. It is important to note that as an AI language model, my responses are based on pre-existing data and may not include real-time or up-to-date information on the latest political developments. To obtain accurate information about bills introduced by the Senate India Caucus or any other political context, I recommend referring to reliable news sources or official government websites for the most current updates.