He made an official statement on his blog:
For more than 80 years, our company has grown and changed, but that basic principle still holds up. We embrace all people as our customers, associates, owners and franchisees regardless of race, sex, gender identity or sexual orientation.
Our principle is backed up with a formal diversity program, which we established more than 20 years ago. Our Board of Directors has also focused on this priority and helped us be a leader and a better company. We were among the first in our industry to offer domestic partner benefits, and we've earned a perfect 100% score on the Human Rights Campaign's Corporate Equality Index for two years in a row. Many of our hotels have hosted LGBT community functions and events for years.
He's pretty careful not to say what his personal beliefs are on the matter, but he does explicitly say "neither I, nor the company, contributed to the campaign to pass Proposition 8" which, frankly, is all we need to know.
It makes us sad that people might be pointing fingers at our Billy just because of his religious affiliation, but this blog post was definitely a good move.