Place biscuits in a clean resealable bag and bash with a rolling pin until roughly chopped. You could also do this in a food processor - don't over process as you want biscuit chunks rather than crumbs.
In the large bowl of a stand mixer (or use a handheld electric beater), whip cream and icing sugar until the cream just forms stiff peaks. Remove into another bowl.
Add cream cheese to stand mixer bowl (don't worry about cleaning it out) and beat until smooth. With the mixer on low, gradually add condensed milk, vanilla extract and ginger, then increase speed to medium and mix until well combined.
Use a spatula to fold whipped cream into the cream cheese mixture. Spoon half of the mixture into a large freezer-safe airtight container. Drizzle with half of the golden syrup and biscuits. Top with remaining ice cream mixture, and most of the remaining golden syrup and biscuits. Use a knife to gently swirl in.
Drizzle remaining golden syrup over the top and sprinkle with the last of the biscuits. Freeze for at least 6 hours before serving.