Also, there is verylittle anti-Semitismvery little antisemitism in India, see the quote at the bottom of this answer.
The common mentality here is: "We are happy to practice our traditions and keep our beliefs,one's own religion and other religions/castes/groups are happytraditions to practiceoneself and let others keep theirs. Let's mind our own business while dealing in respectful, useful ways with other people."
Well, I agree with Nikhil's comment that it would probably be somewhat unwise to walk around in a large-city Muslim neighborhood dressed in orthodox Jewish attire in the middle of the night. But that's a rather extreme example. Also, I think even that would probably be fine, though. The vast majority of Muslims in India are very polite, friendly and like to mind their own business. I don't think they'd even care if an orthodox Jew walked through their neighbourhood. To err on the side of caution, though, perhaps there are wiser ways to spend one's holiday. So, let's forget about the extreme example.