In a small bowl, whisk together the tahini and 2 tablespoons of extra-virgin olive oil until smooth.
Add the drained and rinsed chickpeas to the bowl of a food processor.
Add the drained roasted red peppers, minced garlic, salt, and cayenne pepper.
Process for approximately 15 seconds, or until the mixture is almost fully ground.
Stop the food processor and scrape down the sides of the bowl.
With the food processor running, slowly add the lemon juice through the feed tube in a steady stream.
Stop and scrape down the sides of the bowl again.
Process for 1 minute, or until the mixture begins to smooth.
With the food processor running, slowly add the tahini and olive oil mixture through the feed tube in a steady stream.
Stop and scrape down the sides of the bowl.
Continue processing for approximately 15 seconds, or until the hummus is smooth and creamy.
Transfer the hummus to a serving bowl.
Cover the bowl with plastic wrap.
Allow the hummus to stand for at least 30 minutes so the flavors can blend.
Before serving, top with roasted sliced almonds.
Drizzle with approximately 2 tsp extra-virgin olive oil.
Garnish with minced fresh parsley.
Serve as desired.