Are Trump and Netanyahu doing this war together or...?

Israel is basically helping itself to targets in Iran and sometimnes one wonders whether Donald Trump and Benjamin Netanyahu are on the same page. Trump said in the first week that all the people he had in mind for possibly taking over from Ayatollah Ali Khamenei had been killed in the huge Israeli airstrike on Day One which finished off the then supreme leader and many others. Israel has continued to target and kill other top Iranian regime leaders including Ali Larijani, the head of Iran's national security council, and today the intelligence minister. Were either of those on Trump's list of possible leaders he could do business with? Now Israel has bombed one of the largest natural gas fields in Iran. Yet Trump deliberately didn't order US bombers to target the oil terminals on Kharg Island when all the military facilities on the island were hit. Presumably Trump had his reasons - the price of oil - for leaving the terminals and oil storage sites undamaged. So did he know Netanyahu was going to hit the gas field? Maybe, Trump has told the Israeli prime minister he can bomb what he likes but it seems to be a bit of coordination and shared objectives might be a good move.