I tried setting up the mabufudyne in training mode and it seems like you need to put a small delay between the 5C and mabufudyne if the 5C is blocked, so it takes a bit longer to hit than 2C would, so maybe you could time it so you jump straight up in case of her 5D, block in mid-air in case of her 2C, and then j.C also in mid-air to hit Thanatos before he can mabufudyne? I've tried to get the mabufudyne out as fast as possible, but it only seems fast enough to get destroyed at the same time it lands its first swing. It may be a bit unreasonable to try to get the jump, block, and j.C out with such precise timing, I may still be putting the mabufudyne out too slow, and the JD may still be a problem, but it's an idea.
I'm still having problems getting past her normals, though. They just seem to have such long range.