Thanks for your reply Mark. I understand that is definitely not authentic neapolitan, but the only reason I would say it is a neapolitan cross is because that is what La Casa's description has on their site:
"La Casa opened to serve our first pizza in June of 1953. Founder Joe Patane (seen above) and family ran out of food halfway through the evening on their first night, indicating his hunch about Neopolitan-style pizza and its popularity was correct. The third generation of Joe's family invites you to share in a part of Omaha's restaurant heritage known as La Casa, still operating in our original location at 4432 Leavenworth Street."
Other wise I would just say a thin pan style, but I am not too experienced so I am not too sure. It isn't very airy or soft and chewy, its more crisp and then a nice chewiness.
John - Thanks for your reply as well. I have attached a few more pics from the web...I haven't been there in a little while so I don't have a slice cross section. I hope it helps.