Walk into almost any market in Iraq and the shelves are filled with goods from Iran — milk, yogurt, chicken. Turn on the television and channel after channel broadcasts programs sympathetic to Iran.

A new building goes up? It is likely that the cement and bricks came from Iran. And when bored young Iraqi men take pills to get high, the illicit drugs are likely to have been smuggled across the porous Iranian border.

And that’s not even the half of it.

Across the country, Iranian-sponsored militias are hard at work establishing a corridor to move men and guns to proxy forces in Syria and Lebanon. And in the halls of power in Baghdad, even the most senior Iraqi cabinet officials have been blessed, or bounced out, by Iran’s leadership.