Having a regulated 12V source would allow this to be more stable... and would prevent the alarm from triggering on a false positive from the 12V source drifting. This of course will depend on what kind of accuracy the OP wants.
Alternatively, does anyone have any objections to using a diode on the + side of that Comparator?
+12V----\/\/\/\----+---->|----GND
You would need to feed the output from the Aneamoter to a voltage divider, but that would ensure a more stable reference voltage would it not?