They do and they don’t. Basically they want to get the US intertwined in their fights from a support and ally perspective namely Iran. And Iran isn’t to be taken lightly especially with how its used Political Shiaism to embed both political and militant power into Arab Shia populations. Lets put it this way, some 24 countries in the world have populations in which varying percentages swear allegiance to religious-political leadership with ties to or direct control via Tehran.
I would not worry about Shias in Pakistan or India