I learned that Santa doesn't so much CONQUER the Martians as much as he befriends and helps them.
Maybe those words just meant something different back in the early 60s. Like how all the news stories and propaganda films of the time played on the fear that any day now, the Russians were gonna "befriend and help" us with their H-bombs. I always thought that was a strange thing to say, but thanks to this movie, I think I finally understand.