You have very different ways of thinking, which could lead to some basic misunderstandings. Your ideas about life in general are pretty different. This could lead to misinterpreting one another's basic natures, as it's easier to project your own ideas onto the other person than it is to step outside your own point of view to try to see things from their unique perspective.
You won't necessarily argue over your opposing viewpoints; it's more likely that you'll each just overlook the other's true feelings or opinions. You two will also find that you communicate very differently. These differences could become a major problem between you, but it doesn't have to be that way. If you both make a conscious effort to be positive, accepting and encouraging of one another's individuality, you'll both feel much more willing and able to express yourselves in the way that is most natural to you. Acceptance is key here, in order to make this friendship work.