Who exactly is an anti-soccer-mom?
Someone who doesn’t like moralistic intrusion.
So a social libertarian?
Then your list is strange. "I don't like moralistic intrusion therefore I take Carter over Ford" does not make much sense.
Also, why Dole in 1996?
By the way, why would they be alienated from Bush by a law that did not even exist yet?
Carter ran on decriminalizing marijuana, Dole laughed at Clinton’s school uniform and curfew proposals and opposed the V-Chip, Bush campaigned on No Child Left Behind.