The US funds, supplies and trains Pakistan's military. So it is already involved in the latest India - Pakistan conflict.
The US Vice-President has declined to use the resulting leverage:
“What we can do is try to encourage these folks [Pakistan and India] to de-escalate a little bit, but we’re not going to get involved in the middle of war that’s fundamentally none of our business and has nothing to do with America’s ability to control it.”
Can't imagine this statement does anything good for US - India relations.