Combine the feta, whipped cream cheese, olive oil, lemon juice, and black pepper in a stand mixer with the whisk attachment, or a food processor. Mix for 2-3 minutes on medium, until smooth. Stop to scrape down the sides of the bowl as necessary.

Chop the tomatoes. Then use spatula to spread the whipped feta onto a platter. Make a rectangle with a square missing for the chips.

Arrange the tomatoes to make stripes. Add corn chips and serve.