As leader of the Mexican forces Antonio Lopez de Santa Anna was never threatened with execution by the victorious Americans. He had retired to Havana, Cuba (after having been president but overthrown- more than once) but returned in 1846. He was offered the presidency, but preferred to lead the Mexican forces. He also assumed the presidency in 1847, but after his defeat, he again "retired" to Jamaica. He returned and assumed the presidency for the FIFTH time in 1853, but was exiled again in 1857. He tried to return twice, but was rejected, first by the French (who had taken over Mexico) and then by the the US Navy in 1867. He returned to Mexico in 1874 and died there in 1876, age 81. He was charismatic and energetic, but repeatedly messed things up.

Taylor, of course, was a Mason, as were many US military officers in the 1790-1930 period, and all US presidents from Washington up to Kennedy, when the string was broken. I doubt that Santa Anna was interested in either religion or fraternal organizations in any meaningful way, although nominally Catholic.