I would personnally say don't mix them. A broody female goose can be quite unpredictable and the male can be very protective of his mate and the eggs.
They are quite powerful birds and I wouldn't like to say how they would treat the smaller chooks in the house when they were nesting.
At our other property we mixed the waterbirds on the pond - we had larger cabins for the geese and smaller shelters for the ducks. This worked very well.
Hope this helps.
Kate