It's odd that you didn't get anything from the cat command, I copied/pasted the string you wrote and got exactly what I expected.
There isn't any reason to have Wine in your application list. This is not an issue.

When you install Moi (after Wine), a desktop icon should be created. In my desktop icon, If I right click and choose Properties, this is the command string:
env WINEPREFIX="/home/steve/.wine" wine C:\\Program\ Files\\MoI\ 4.0\\moi.exe
I'm pretty sure this was created when I installed Moi (after installing Wine).

You should have a desktop icon for the programs that will run under Wine, mine is labeled Wine-C representing the C drive on a Windows machine. Dig down to C:\Program Files\Moi 4.0\moi.exe
You should be able to right click moi.exe and choose Open With -> Wine and start the program.