This may sound surprising to you, but

there is no such thing as perfect compatibility

in a relationship because no two people have the same nature.

The sooner you understand this simple truth, the better your relationships.

So what should I do?

As the poet Kahlil Gibran says about an ideal marriage: 

Stand near together but not too near together, for the pillars of the temple stand apart, and the oak and cypress grow not in each other’s shadow.