Up until a few years ago, my experience was that most airlines would routinely and proactively move you to another carrier in these cases, even for non status flyers. Over the past few years, they have become much more tight fisted in this regard. Having elite status with the airline helps. It also doesn't hurt to know the options on the other airlines, so you can suggest viable alternatives. But don't be surprised if the best they will do is graciously allow you to sleep in their gate area overnight.