After the war, Hermione would be the public face of the new pro-Muggleborn leadership of the Ministry, but it would still be Harry calling the shots behind the scenes, with their control of the government maintained partly by threats of violence. Harry would publicly basically just be a househusband, but his responsibilities would weigh on him significantly more than they did in the Mirror of Erised. Not quite what he dreamed of, but it could have been much worse.