The Ghost, written by Robert Harris, a one-time friend of Tony Blair, features a former British Prime Minister not named Tony Blair.
The character, Adam Lang, was a charismatic PM (but not named Tony Blair), was accused of lacking depth (but wasn’t named Tony Blair), and got Britain heavily involved in the War on Terror (but remember, he isn’t Tony Blair).
I’m not quite sure whether to refer to The Ghost as a thriller or a satire. It definitely progresses as a thriller – the protagonist, a celebrity ghostwriter, is hired at the last minute to make sure Adam Lang’s forthcoming memoirs are completed in time for the deadline. The story follows his progress as he tries to learn more about Lang, to understand the psychology behind the former Prime Minister.