So far, they (There are two, or were; likely a mom and her young, based on size difference) have stayed away from the rabbit building. A friend suggested putting hardware cloth into the ground about a foot. This is in the process of being done.
A few days after writing the original post, we had a Great Horned Owl on our property. He has come several times since than. Yesterday, he tried roosting in one of our trees, but the Blue Jays and Kestrel found him and made all kinds of noise, scaring him off. Maybe he got one of the possums, it's hard to say, but we are aware one is still around. Last night I heard the female call, so I believe Mr. Owl found his mate.
Someone in another thread here mentioned possums keep mice away. I don't know how, but if they do, that's another benefit for having possums here.