By your very logic, if they are willing to nuke over nothing, they'll also do it to countries that sanction them.

Good point, but the number of countries sanctioning India would definitely far exceed the number that would retaliate militarily against them. Non-NATO countries would join in on sanctions but would not join the fight, so there would simply be too many sanction targets to retaliate against.

Just because you wouldn't help your friends in a fight or if they got attacked doesn't mean everyone is the same as you and just watch while it happens doing nothing.

I'm Canadian so I've been considering this from the viewpoint of the one who got attacked. I'm really having trouble believing my friends (other NATO countries) would put their necks out on the line, and I think they would be more cautious in the face of their own nuclear destruction.