Make the Crust: Combine the crushed sugar cones and the crushed pretzels in a medium bowl. Drizzle with the butter and toss with a fork until thoroughly combined. Press the mixture into the bottom and up the sides of a pie plate. Place in the freezer while you prepare the filling.
Make the Filling: In a small saucepan, combine 1 cup of the strawberries, the sugar, lemon juice, and cornstarch; cook over medium heat until it is thickened and bubbling. Reduce the heat to low and cook for 2 more minutes. Remove from the heat and cool for 5 minutes, then stir in the remaining 1 cup chopped strawberries. Cool to room temperature, then transfer ½ cup of the strawberry mixture to a covered container and store in the refrigerator (it will be used for the topping).
Using a rubber spatula, fold the remaining strawberry mixture into the ice cream until mostly combined. Spread into an even layer on top of the crust, cover with plastic wrap, and freeze for at least 8 hours, or overnight.
Garnish and Serve: When ready to serve, top with the reserved strawberry mixture, the crushed pretzels, and drizzle the hot fudge sauce over top. Leftovers should be stored, covered, in the freezer.