No, Gothminister is not a goth band, because they play Industrial Metal/Neue Deutsche Härte/EBM, while goth music consists of Gothic Rock and its derived genres, like Deathrock, Darkwave, Ethereal Wave, and Coldwave.

If you want to dive into the goth music scene, some of the bands that might appeal to you if you enjoy Gothminister are Clan Of Xymox, London After Midnight, and Switchblade Symphony.