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dear shaker, in case you are having just concrete wall as basement and no columns in wall and the length of wall is long then your wall will bend as one way slab. in such case i prefer to model as line element of unit width. But still you need to provide proper consideration to the corner of the wall where this one way action will be restrained. But in case we are having columns with in the wall then our slab will be showing a dishing effect which depends on the stiffness of wall and columns. in this case i prefer to model the real model consisting of columns and wall so that i may see actual deformation and i will read forces from this model. because at interface of column and wall behavior will be changed than mid span. I need opinion of seniors over this. Thanks.

who designs foundations??? structural engineer or geotechnical engineer?

Geotechnical Engineers provide Geotechnical Investigation Report. That has recommendations for Structural Engineers that they use while designing foundation.