You're thinking that the roof is the worst part but it may be the best vapour barrier surface of your workshop. Checking on the characteristics of MDF, there seems to be very little impermeability built into this material so water vapour will transfer through it quite easily. There are also the gaps between the sections that give moisture even more opportunities to join up with your beautiful machines.
Sitting over soaking ground is another major invitation to dampness to come join the party. Door and window seals I expect aren't the same quality as on the main house so there will be water contributions around these necessary holes in your walls.
To stop, or at least substantially reduce moisture entering from the damp outdoors will require the installation of impervious surfaces on the walls, floors, and potentially ceiling. Doors and window gaskets/seals would also be needed to reduce these contributions. At the end of all this work and expense, there will still be very high humidity levels in your shop and this will result in the same condensation issues you're seeing on your favourite machinery.
I live in a location that gets quite cold in the winter (the middle of Canada) so insulation & vapour barriers are standard construction features to keep moisture transfer from freezing inside walls and causing serious problems. The good thing about our winters is that there is almost no moisture left in outdoor air so we don't get the cold damp issues during the winter (but we do get to shovel our rain). The cold/damp days are quite few so we don't see your issues for many days of the year
I'm still leaning to raising the temperature of your equipment above the point of condensation. If you can't go with heating the entire workshop, the suggestion of tenting & light bulb heating is an excellent and economical way to reduce and hopefully entirely eliminate your problem. If the bulbs don't have the capacity to maintain needed temperatures, you will need to increase the heater size until the needed temperature is achieved.
Another long shot option is to convert your bedroom to a new workshop but I expect if you even suggest this, you may find yourself sleeping in your workshop, so let's just keep this idea between ourselves.
Joe