Chill a large mixing bowl. Pour the cold cream and vanilla into the bowl and beat it until soft peaks form. Reserve 1 cup of the whipped cream in a pastry bag fitted with a small round tip. Place in the fridge until ready to serve.
In another bowl, mix the cream cheese, sugar, pumpkin puree, and pumpkin pie spice together. Beat until light and fluffy.Add in all but 1 cup of the whipped cream. Gently fold it in until fully incorporated.
Pulse the ginger snap cookies in a food processor until crumbled. Add the butter, sugar, and salt. Pulse to combine.
Add a scoop of the cookie crumble to each serving dish. Compact it with a spoon. Scoop the pumpkin cheesecake mousse into each dish. Top with the reserved whipped cream.