The difference, by the numbers
Both have sweet vermouth and orange juice. Only the Blood and Sand has Blended Scotch and cherry liqueur; only the Satan’s Whiskers has dry vermouth, gin, Grand Marnier and orange bitters. In parts, a Blood and Sand is 1 Scotch, 1 cherry, 1 vermouth and 1 orange; a Satan’s Whiskers is 2 vermouth, 2 vermouth, 2 gin, 2 orange and 1 Grand Marnier. By volume, the Blood and Sand is 25% mixer and juice, 25% spirit, 25% fortified wine and bitter and 25% liqueur; the Satan’s Whiskers is 45% fortified wine and bitter, 22% mixer and juice, 22% spirit and 11% liqueur. That makes them close cousins on the ratio map.
They are about equally strong in the glass (13.2% and 13.3% ABV), and they hold about the same alcohol (1.07 and 1.08 standard drinks). The Blood and Sand has more calories (about 155 against 139) and more sugar (12.1 g against 7.9 g). Both are shaken and served in a coupe.