I don't believe I've seen a Mora with a full tang. By "modern" you mean the molded plastic handle models? There were some X-rays posted long ago showing that some models do have significantly more tang than others, but none would be considered "full."
The wooden traditional Mora knives have full-length tangs, the tangs extend to the end of the handle, but they aren't really "full tangs."
Maybe I'm thinking of some different x-rays?