I don't think anyone has updated the DBS to Entrenchment 1.05/1.051. With that said, you might try using the DBS minimod that is provided with the Distant Stars download. Find the single folder that contains the DBS files in your Distant Stars "Extras" folder, copy and paste it into your main 1.051 mod directory, and then just apply it as a mod within the game.
Bear in mind that the DS team has probably adjusted stats for each ship within the DBS minimod, though it's possible they haven't changed anything (I'd have to get into the entity files to see). You might also give the volumetric explosion mod a try (also included in DS, I believe, but definitely available on its own). It gives the game an entirely new visual appeal.