I am very familiar with the Cartmel Master Plan since it's one of the main reasons I'm an actual Whovian and not just a casual fan of the series but I do feel you picked up on stuff that really isn't related like the seventh Doctor's confrontation with the Gods of Ragnarok.There are a few very good reasons why the Doctor being familiar with gods isn't a big deal. Firstly there's the fact that he's actually dealt with quite a few nearly gods before, I mean Jon Pertwee met the inspiration for the devil, the fourth and fifth Doctors dealt with the black and white guardians and the sixth Doctor fought his own potential future evil self which okay isn't a god but is weird enough for seven to be blase. Secondly the Doctor has actually dealt with the Gods of Ragnarok before, Ace is technically speaking one of their minions since she's a wolf of Fenrik.The click is interesting though because I never looked at it as 'Ooh! Foreshadowing!' I just thought it was like Adam's brain in The Long Game and they were retconning it as a sudden discovery to make us aware that the Doctor's starting to become the awesome Doctor of the future.Since you brought up the timewar I'm surprised you didn't look at the fact RTD has stated Genesis of the Daleks being part of it and the greater implications of that because if 4 can be involved then you can bet seven would be, especially since six had a chance to look into the Matrix and his own future there in. It's very eweasy to interpret Remembverance of the Daleks being part of the war, some lines in the Curse of vFenrik even suggest he doesn't know if he has any family left asd a result of a current war.
All Doctors after 8 are half human and I created the Farsh-nuke in all its shitty glory. The Seventh Doctor kicks arse and the Green Nothingness is real.