I tried installing Civ IV in Wine and had much more success this time. The Direct X installation still failed, but I could proceed with the rest of the installation. However, when it got about halfway done copying the files, it asked for disk 2. There is no disk 2. Just one DVD. I tried selecting it multiple times, and it failed.
In any event, I got much further than with 6.0.2. Looking forward to future versions!