Diverging Value Systems
Of course, you prefer when your value system intersects with the value system of another person. It makes for a pleasant collaboration.
An ideal collaboration goes beyond the scope of the initial problem. An ideal collaboration is an unfamiliar journey for its collaborators.
The key ingredient for that to happen is for the collaborators to have somewhat diverging value systems.
One likes red, another likes blue, a third likes green... now they have a color wheel between the three collaborators with seemingly infinite combinations. Without that diversity, we would have gradients of the same color and nothing more.
Very few people have completely identical value systems. Chances are, your collaborators will bring something unique and diverse to the table.
All you have to do is encourage the diversity and not promote the sameness.
This part is tough.