No existing mods, but it is pretty easy to do (I'm assuimg you know how to edit entity files already. If not, there is a tutorial in the forge tools download, though you'll need to download/convert the game files seperately).
For the advent just open their psi cruiser carrier and planet module hangar defense entity file and remove the reference to the homing mines squadron.
For the Vasari, open the playerphase.entity file and delete the line "entityDefName "FrigatePhaseMineLayer"" and reduce the count above that section of ships by 1.
For the TEC, open the playerTech.entity file and delete the line "entityDefName "PLANETMODULE_TECHDEEPSPACEMINE"" and again reduce the count immediately above that section of text by 1. That should render all the factions mines (or the mine layer) unbuildable.