Depends. Santa Anna was the biggest reason on why both the liberals and the conservatives radicalized so much during the time period, so with him out of the picture, I can see that both parties are going to be more moderate, and (hopefully) less willing to start armed rebellions just because their ideas fail to take traction.
Anyway, without him and the promulgation of the conservative centralist regime and the Siete Leyes, it's likely that Guatemala will remain as a part of Mexico, and Yucatán remains in confederation with Mexico, thus, more likely to suppress the Caste Wars, possibly ending them earlier. About Texas, it would depend on what would be TTL's Congress' reaction to the Anglo demands in Texas (which were for them to have their own representation in the congress, and splitting Texas off from Tamaulipas). Best-case scenario it will end up confederated with Mexico, thus, having representation in the Mexican government, but not enough to present a threat to the national interests. Worst-case scenario, there's armed rebellion, which will get promptly smashed, and new incoming Anglos are forced to resettle somewhere else.
Finally, if there's a Mexican-American war (which is inevitable), possibly they'll manage to drag the war down into a more coherent settlement instead of the vindictive Guadalupe-Hidalgo treaty we got OTL.