Wow. This is one of those places I wish I'd discovered much sooner. The food is incredible and the atmosphere is warm and inviting. My wife and I had lunch here today and will be again, and often. We both had the lunch special - a turkey sandwich on a croissant. She had the beef and veggie soup, I had tomato basil. Everything was fresh, flavorful and just damn good. The tomato soup is honestly the best I have had EVER. The wife raved about the sandwich and loved the beef & veggie soup. The waitress brought out a balsamic & horseradish sauce to put in the beef soup, something I'd never heard of. It was great - added a nice zing to an already great flavor.
I'm not a coffee drinker but they menu had dozens of interesting sounding coffee drinks and the place smelled incredible. I was tempted to try a smoothie but after lunch I was completely stuffed.
This café sits right on the corner of DI and Rainbow and does indeed have a great view of the strip, especially at night.
Strip View Café is worth the visit - I highly recommend.
Update 08/17/2015
Had lunch here again. This time I asked the server for a recommendation. She told me about a new dish called "Thracian Clay Pot" and said it was very good. I ordered that dish and loved it. It was sort of a stew with several different types of cheese and veggies. Very delicious and certainly something I've never had before.