So I hit the log out button, hit OK on the alert, it goes to a page where I'm logged out, and when I go to another page I'm logged back in again!
My browser is Safari 5.0.

Cookies are notoriously finicky. Few questions:

1. Have you logged in to either battles.victoryroad.net or victorybattles.net? (The latter uses a different domain and cookie set, so is unlikely.)
2. Did you check the "Remember Me" checkbox when you last logged in?
3. Has this problem ever appeared before, on Safari 4, etc.?

I'm guessing its my own dirty work, and will be fixed in the second Beta of VictoryBattles, but I could be wrong.

Edit: Note, by clearing private data (+cookies) you will logout. You could also selectively clear the cookies "bbuserid", "bbpassword", and "bbsessionhash" (not sure if the last one is 100% correct).

No, I can't log out of Victory Road.