That which is explained there in Blender manual does not require any other change in configuration of Blender shortcuts. You just have to apply the command and logout/login or restart the PC. Then opening Blender, Alt key should work as it works for you in Windows (as long as you have “Emulate 3 Button Mouse” enabled if you want that orbit behavior)
But I’m not sure if the desktop you’re using in Mint is GNOME. If this is other desktop or one derivative of GNOME, then it would be necessary to see if what is explained in Blender manual is still compatible.
Do you know exactly which version of Mint you are using and what is the Linux Desktop that it uses?
Oh, @Grimm shows that Mint has a GUI to configure shortcuts. I think the steps to do it from that GUI in Mint should be mentioned in that Blender manual link I shared above.