If they could only keep it secret then yes, they'd pitch in with the rest.
But it's going to get out that they'd be joining up with other religions, so no deal--they would lose their freedom of speech on that one, spiritually speaking of course. But money talks louder.
In the end they'd have to weigh the cost, whether it's cheaper to pitch in with others or handle things on their own. And in this case the money may just be doing all the talking if they see the flood of victims claiming compensation.