Will India and Pakistan unite against a Nuclear Weapons trigger happy Israel?
There are two major problems with this question.
First, whether Israel has nuclear weapons, it is definitely not
"nuclear weapons trigger happy". Israel has not launched a nuclear
missile or any intercontinental ballistic missile (even with a
conventional warhead).
Second, Israel maintains good relations with India and the two
have a decent trade relationship. Israel and Pakistan do not
recognize each other and India and Pakistan are in a long-term
conflict.
Therefore, if anything were to happen between the three
countries, it is far more likely that India and Israel would join
forces against Pakistan than for India and Pakistan to join forces
against Israel.