This looks like an old Monotype font that is not available anymore...

But very close would be The Sans in Bold

Fat Tuesday is in Lithos Black.

I have a feeling the rest is also - with an O used for the Q and other modifications like squash....

Found it - Colossalis Black

ITC Franklin Gothic Heavy Italic

Sure does look like someone had fun condensing Hoefler & Jones' Didot Light. (Other manufacturers may have Didot - but this C is a H&J one.)

Modified