I think you should keep trying to do it using IFC. Experiment with various settings and ways of exporting the IFC from Vectorworks. I think it should be able to export the whole model as IFC.
As an intermediate step, you could using the free Solibri Model Viewer to check what was exported into IFC. ARCHICAD should also be able to bring in the whole IFC model.
I suspect with the current export settings the resulting IFC does not contain all the geometry and that is what you see when you import it into ARCHICAD.
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