Ford held the first automotive conference aimed at bringing diversity to the car industry. "Diversity" is a code word for homosexuality. By defining themselves as a minority such as African-Americans, homosexual activists seek to bolster their claims of needing special treatment.
Now, I am a conservative, and I am a supporter of what you might call "traditional family values", but this argument is a stretch. Ford, like all other major companies, have jumped on the "diversity" bandwagon as a way to reach two constituencies: minority employees, and minority consumers. Diversity outreach is a more benign form of affirmative action, the less benign form of course being hiring quotas. Ford is doing what every other major company is doing--trying to attract minority employees, so that it can not be attacked by the Left or by the EEOC, for being a racist corporation.
I am not a fan of corporate support for gay marriage, gay pride parades, etc. However, boycotting Ford will have no significant impact on the company, or any other company for that matter. Did Disney roll over when the AFA declared a boycott? (not really)
On the other hand, hurting Ford will hurt many things that the AFA supports. Ford gives quite a lot of money to traditional philanthropic causes, such as historical preservation, the Red Cross, United Way, etc. The amount of money that Ford gives to non-controversial causes is probably an order of magnitude more than what it spends on gay issues.
Consumers are the other side of the issue. Ford, like all other companies, must market its products to a very diverse market. A way to do this is to target advertising to specific communities, whether they be Chinese, Spanish speaking, or gay. If this is done effectively, Ford can gain an edge on competitors who do not make the effort. It is just good business. Ford advertising to homosexuals is not necessarily an advocacy of their life style. Targeted advertisements would not, if done properly, be seen by the AFA's members.
Update: Ford supports Christian employees internally through the Ford Interfaith Network, an employee run but company sponsored group that organizes religious events and Bible study. Ford allows the various religious denominations to use Ford property to hold meetings, publicize events, etc.