The speciality of these captains is in making the individual first officer believe that they are the only idiot and that all the other FO's are fine.
So: As has been said, know your SOP's like crazy! Read up on the tech stuff until it's coming out of your ears.
Then: Talk confidentially to all the other FO's about this person (Knowing that you are not alone will help tremendously), collect as much information on him as you can, particularly where his weaknesses are.
Then, when you fly together you will be the one exuding confidence, knowledge and co-operation. It also helps to pretend that you are line checking him-without any debriefs of course!
The end result will be that the operation will be safe, you will become a better pilot and he will inevitably crack!
If you have to have an argument, do it away from the aircraft on a non-flying subject. Find out what his weakness or hobby is and then denigrate it in front of as many people as possible including the victim. It will unerve him and he will have no comeback-as clearly you had no idea that he was one of those pratts that collected train numbers etc etc.
The best of luck!