Church messaging works on the midwit curve. In this case, the 85 IQ message is "vote how your husband tells you." The 115 IQ message is "vote how your husband tells you to strengthen his household, because you shouldn't be voting at all."
The message isn't "God-fearing women stop voting."
It makes no sense for a church to dissuade women from voting. If any women are voting, then you definitely want all religious women voting.
Church messaging works on the midwit curve. In this case, the 85 IQ message is "vote how your husband tells you." The 115 IQ message is "vote how your husband tells you to strengthen his household, because you shouldn't be voting at all."
The message isn't "God-fearing women stop voting."