At one point in time I would have agreed with your last statement.
Based on their repeated, continuous behavior towards Israel, however, I don’t think they CARE if there is nuclear war in the Middle east, as long as they can blame it on Israel.
You might be right. They might be that stupid.
And so stupid, that if it does happen, they won’t realize that it was their actions that caused it and as usual they will blame the victim — Israel.