I have heard of studies indicating that sick people in hospital do worse, or have worse health outcomes, when they know that people are praying for them.
We can speculate on why that might be the case, but one things seems clear: prayer does not cure disease.
That being said, the language in this meme is a little jarring to me. I get that the joke sort of depends on the shock value, and it's not that I disagree with the premise. Jesus is not going to cure leukemia. At the same time, I don't think open hostility to Jesus the icon moves us forward in any way. I think the Christian institutions certainly deserve criticism, but even then, it should be measured and rational, and not overly emotional and hostile. IMHO