In my opinion shaking induced displacement typicly occurs on a hillside or steeper slopes, normally abovethe ground water table so liquefaction is out. The soils are overloaded from the additional seismic loading forcing them to "shuffle" down the slope.
Liquefaction induced spreading is when liquefiable soils are located near surface beneath gently sloping ground or near a free face. This typically occurs near rivers, changes in topography.
There are of course grey areas, like at the foot of a hill which are underlain by both alluvual/loess soils and the grousnd water level is near surface. These are quite tricky to asses in my experience.
You seem to be covering all basis by I'm not sure if you need to do that much.
Could you upload a typical cross section showibg slope angle to the river back, height of the bank, and also include some geotechnical information. I could be be to give a better answer then.
I would nearly guarantee that you will have virtually no lateral spreading if you do a lateral spreading analysis. A 6m thick layer of non liquefiable should not spread.
Also if the slope angle is relatively low (<10-12 degrees, Ambreseys and menu or the likes might not give any displacemt.