To run Database Designer for PostgreSQL on your non-Windows box under Wine you should use at least:
Database Designer for PostgreSQL uses GDI+ library in the work. To install appropriate files please use the command:
Since Database Designer for PostgreSQL uses Microsoft Data Access Components for its Universal and MS Access Database Reverse Engineering appropriate redistributable runtime libraries should be installed:
jet40 - MS Jet 4.0 Service Pack 8
mdac28 - MS MDAC 2.8: Microsoft ODBC drivers, etc.
After this application already can be used with its full functionality. However, fonts used in Designer appear ridged. To fix this install Microsoft Core Fonts (Arial, Courier, Times etc.), but make sure cabextract utility is present in the system.