There is a native DOSBox package for Ubuntu (the distribution I run), among others. I was just unsure of how to configure it to run MoM. The files will all be present as on Windows. I don't think I would need to use Wine...at least I hope not.
I will try to get the values from the GoG game...I am sure there I can find the config file somewhere.

I used wine to run the GOG installer. It resulted in an icon on my desktop to launch MOM under wine. That didn't work too well, because the screen was blank, although I could hear the sound on startup. I examined the command being executed by the launcher to see that it was using wine to run dosbox to run MOM! (ugh!). I already had dosbox installed, so I tried running that directly from bash (the shell), with exactly the same options. It worked like a charm!

To do this yourself manually, cd into the directory containing the MOM installation, and type the following at the prompt:
> dosbox -conf dosboxMOM.conf -noconsole -c "exit"
I got that magic incantation directly from the launcher's properties. I don't know what the consequences of tweaking them are.

Front ends, like D.O.G. and D-Fend Reloaded a wildly underused. I think it's because people think their a noobie if they use one, but if you have 60 DOS games installed in your DOSGames folder, like me, a front end makes starting games (after set up) one double click operations from the list within the front end! Front ends also allow you to make notations for each game so you can list the latest patch/mod you have installed, release date information and easy and quick mouse clicks and tabs only to change options in the game!

I say the above despite knowing DOSbox pretty much back and front!