Sorry, I didn't see this when it was first posted. To answer your question, No, I do not think you should build your life around a lie. It will all come back to bite you eventually.
I have some suggestions, however, and a few comments.
First, I live in Henderson, NV and have for many years. I am sorry you are having such a bad time here, but I'm thinking that you're feeling so miserable and so homesick that you are blinded to all of the wonderful and good things about our city.
We are a city of more than 270,000 people, and contrary to the derogatory remarks about Henderson and its citizens by two other posters, we are consistently recognized as one of the best places to live.
I always say there is more to do here than there is time to do it, and it's true. Have you been to any of the kid-gyms or play places, any of our nationally recognized parks or walking trails? How about the numerous recreation centers, libraries, classes, outdoor festivals, the music or movies at the district or town square (a great place to meet other families with young children)? Have you joined any of the many sports leagues, book clubs, churches, synagogues, temples? Have you visited Lake Mead, the Hoover Dam, gone climbing in Red Rock, or played in the snow on Mt. Charleston? If you do any of these, you'll see many of the rest of us families doing the same!
Even though it's a big population-wise, Henderson has a small town feel, especially once you get to know some more people and make a circle of friends. Most of my daily travels are within a 3 mile radius! School, grocery, Target, library, sports practices, games, etc.
It take some time (more than the 7 months you've been here) to develop the deep and lasting kinds of friendships you had back in TX. I understand you're feeling lonely and sad, but I think that you're so wrapped up in those feelings, you are failing to see the beauty and potential of where you are now and missing out on all of the opportunities that are right before you.
As far as schools go, my youngest is in one of the best elementary schools in Henderson also, and we are quite pleased. If you are not happy with your school, there is Foothill Montessori, Henderson International School, Southern Highlands Prep (all private), and also several very good private schools in LV, if you don't mind traveling. There are also Charter schools: Coral Academy of Science in Henderson (usually a waiting list with lottery to get in), Somerset Academy in LV, and Pinecrest Academy in Henderson. The latter two are new, and you can probably still get in without being in the lottery. My friend's child attends Somerset, and she, a former teacher, raves about the school.
I can tell you that our three oldest were educated in the public school system here in Henderson. The eldest graduated with honors from The Ohio State University last year. Our 21 year-old daughter is a junior at UNLV, and our 18 year-old is going to UN in Reno in the fall. All doing quite well in life and in school.
I know your heart is in TX, but for the time being, while you have to be here, just give it some time, reach out, get involved while you work on a realistic and honest plan to get back to TX.
If I can be of any help to you while you are here, please send me PM.
Wishing you and your family the best,
J. F.