Dealing with a workmate, boss or client from hell is likely to happen with every job, so your new employer wants to know that you won’t deal with it by screeching and scratching. They want to know that you are able to compromise with the people around you and get the job done regardless of personal clashes.
Don't get bitchy in your response; rather, emphasise the fact that you had a different point of view. Show how you were able to overcome this difficulty in a professional manner. It is also a good idea to explain that you learnt/grew from the experience in some way, for example, while you and another employee may not have seen eye to eye on a certain project, it taught you how to take into account other people's perspectives which, in turn, made you a better team player.