Because most of modern distributions use newer version of Wine, it is best to use another, precompiled version (you can use it apart from your installed in system version). To do so, follow those steps:
[2] Compile it by using those commands in sources folder:
./configure
make depend && make
Important note: do not use make install! It will override your current Wine installation! In my opinion it is much simplier to handle having multiple Wine versions on one system when not installing them globally.
[3] Prepare another WINEPREFIX folder for the game, for example with this command:
mkdir $HOME/.wine-brusa
[4] Install the game using created prefix AND compiled before 1.0.1 version of Wine, for example like this (in game installer folder):
WINEPREFIX=$HOME/.wine-brusa/ /your/path/to/wine-1.0.1-sources/wine setup.exe
[5] Run the game in a similar way. In game folder:
WINEPREFIX=$HOME/.wine-brusa/ /your/path/to/wine-1.0.1-sources/wine BigRaceUSA.exe