I guess we are not so unusual. We too say I love you often every day to each other, and somehow have gotten into a "I love you better" "I love you bestester" kind of game. We kiss and hug through out the day too. The "I love you even when I'm mad" though is probably the most important one.
On this topic... my daughter even as a toddler never new a stranger. It actually became a problem we had to teach her to deal with differently.
What she'd do is walk up to total strangers (mostly other kids) and hug them, or tell every single person in her life that she loved them. Over time she has formed her own boundaries, and uses affection in more appropriate ways.
I am not sorry we are as openly affectionate as we are. Over the last two or three years, friends of my son and daughter, have commented that they wished <I>their</I> parents would tell them they love them, and are proud of them. My children are envied for the love and relationship they have with us. My children's best friends, often "get in line" to be hugged after my children, and I'm happy to!