Place the ice in the blender and process until finely crushed.
Add the strawberries, lime juice, tequila, and powdered sweetener. Blend until smooth. Taste and adjust sweetener as desired.
Run a lime wedge around the rim of two cocktail or margarita glass. Place the granulated sweetener in a shallow dish and run the rim of the glass through the sweetener.
Divide the margaritas between the prepared glasses. Garnish with lime wedges and strawberries.