I believe "shp" uses a longitude/latitude coordinate system. CAD-programs, by and large, use Cartesian x/y coordinate systems.
I gather AutoCAD Map (
http://usa.autodesk.com/adsk/servlet/index?id=3081357&siteID=123112) can translate long/lat to Cartesian, but even so, you need to determine the projection.
I have used MapInfo quite a lot. When exporting as DXF, you first need to do the coordinate conversion within MapInfo, then export. Perhaps ArcView is more user-friendly.
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Are ArcView "attributes" (ie. the alphanumeric database) available in ArchiCAD?