I agree with those saying we don't know enough to pass judgement. I strongly doubt that they bothered going around purchasing friendly "pet" rabbits - not only do they not need the bad press, but it wouldn't be cost effective in the least. If they are like most rehab centers I've volunteered for, they obtain the live animals from meat breeders and similar dealers. And sad thought it is, it IS a crucial part of predator rehabilitation to get the animals to eat live prey.
It's easy to say "they should use wild rabbits!" but you need to remember that in many states wild rabbits are a regulated game species. This means that there may not be year-round take, there are probably bag limits, not to mention how unfeasible and difficult it would be to obtain large numbers of wild rabbits live on a big enough scale for a bustling rehab center. And really, are wild rabbits somehow more deserving of death or less capable of pain and fear than domesticated animals?
Domesticated but "wild colored" mice were always used for the raptor centers I worked at, and the photo looks like a domesticated but "wild colored" rabbit. In other words... standard practice. We don't know what circumstances the photo was taken under. The rabbit may have already been stunned by the bobcat. Or it may have been curious of the bobcat's curious and un-predator-like behavior as a young, unexperienced cat. Basically: a picture isn't enough to base one's entire opinion of an organization on, especially in a context that quite frankly has a blatant agenda.
I'd hate to see Big Cat Rescue, an organization that does FANTASTIC work, lose followers over a knee-jerk reaction to a photograph without the full story behind it.