Whisk together the cream, milk, sugar, salt, and vanilla. Pour into the ice cream maker and freeze according to the manufacturer's directions. While the ice cream is churning, use a very sharp knife to slice the Rice Krispy Treats into very small 1/4" - 1/2" pieces.
When the ice cream finishes churning, scoop the ice cream into a freezer-safe airtight container and stir in about 3 cups worth of the chopped up Rice Krispy Treats. Freeze until ready to serve. Enjoy!