The difference, by the numbers
Both have lime juice. Only the IBA Tiki has aged rum, amaretto, hazelnut liqueur, Maraschino liqueur, passion fruit purée, pineapple juice and fresh ginger; only the Suffering Bastard has Cognac, gin, Angostura bitters and ginger beer. In parts, an IBA Tiki is 2 rum, ½ amaretto, 1 passion fruit, 3 pineapple and 1 lime; a Suffering Bastard is 1 brandy, 1 gin, ½ lime and 3 ginger beer. By volume, the IBA Tiki is 52% mixer and juice, 26% spirit, 13% citrus and 9% liqueur; the Suffering Bastard is 55% mixer and juice, 36% spirit and 9% citrus. That makes them close cousins on the ratio map.
The Suffering Bastard is the stronger drink in the glass (11.0% ABV against 8.7%), but the IBA Tiki is the bigger drink, so it holds more alcohol (1.65 standard drinks against 1.39). The IBA Tiki has more calories (about 263 against 176) and more sugar (20.6 g against 9.3 g). Both are shaken; the IBA Tiki is served in a tiki mug, the Suffering Bastard in a highball.