For the crust: Combine the graham crackers and sugar in a food processor and pulse to process. Drizzle in 5 tablespoons of the butter and pulse to combine. The mixture should clump together slightly when pressed in your fingers. If not, add the remaining tablespoon of butter and toss again. Press the mixture firmly and evenly into the bottom of an 8-inch springform pan. Freeze to firm the crust, about 15 minutes.
For the filling: Pour the cream into a small bowl and sprinkle the gelatin over. Let sit to bloom the gelatin, about 5 minutes. Transfer the mixture to a small saucepan and add the sugar and espresso powder. Warm over very low heat, whisking constantly just to dissolve the gelatin; do not let the mixture simmer or boil. Remove from the heat, whisk until completely smooth and let cool, about 5 minutes.
Beat the cream cheese on medium-high speed in a mixer fitted with the paddle attachment until light and smooth, 1 to 2 minutes. Add the ricotta and beat just until smooth, scraping down the sides of the bowl with a rubber spatula to ensure even mixing. Add the cooled cream mixture and vanilla and beat again until just smooth. Scrape the mixture into the crust and smooth the top. Cover the cheesecake and chill until set, at least 3 hours.
For the topping: Add the cherries and syrup to a small saucepan and warm over low heat. Remove from the heat and stir in the lemon juice. Serve slices of the cheesecake topped with the warm cherry syrup.