Moon not necessary for reasonable stability
Computational study reveals that even without a moon, other planets' influence would limit Earth's axial wobble to about 10 degrees.
http://news.discovery.com/space/history-of-space/earth-moon-life-tilt-110808.htm : Discovery.com story, dateline 8/8/2011.
Note also that some hypothesize that life's origins were with chemolithotrophic organisms deep underground, and the fine details of climate were probably lost on these early wee beasties.