I'm sorry, but there seems to be a mistake in your question. The Treaty of Guadalupe Hidalgo did not guarantee property rights for New Mexicans. However, it did address property rights for Mexican citizens living in the newly acquired territories by the United States, which included parts of present-day New Mexico. According to Article VIII of the treaty, Mexican citizens, who chose to remain in those territories, were given the option to retain their property and become U.S. citizens or to retain their Mexican citizenship and retain their property rights. So, instead of being stricken out, the treaty protected property rights for Mexican citizens in the acquired territories.
