Southgate refused to blame his side for conceding the second late free-kick from which Scotland scored, and is happy group leaders England still have qualification for Russian Federation in their own hands - although Slovakia will close with two points by beating Lithuania, while Slovenia are three points back.
Kane's late response was cruel for Scotland, whose supporters had been vociferously celebrating a thrilling turnaround, meaning they remain in fourth place on eight points with four matches still to play.
But despite the questions being raised about the wall's efforts and also Hart's, the England No1 said no one in particular is to blame.
"It was quite emotional when Southgate told me I would be captain against Scotland".
Stating "I'd love to be England captain", Kane went on to admit that "we've got leaders in the team" and "it is just the case that I'm wearing the armband". "Being away with the marines, we spoke a lot about being ready for any situation can happen and if things do take a turn for the worse, be ready for that and never drop our heads".
Captain Harry Kane led the rescue act as England nicked a stoppage-time equaliser to deny Scotland a famous win on Saturday night.
Germany's five point lead atop Group C was maintained as Stuart Dallas scored two minutes into injury time to give Northern Ireland a 1-0 win over Azerbaijan in Baku.
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When we went 2-1 down a couple of lads could have been on their knees or heads in hands being gutted but we stuck our chests out, walked back to the centre circle and tried to get something from it.
" I think in the past one or two goalkeepers have sort of given up worldwide football because they've not had that chance, so I'm conscious of keeping people involved". Maybe the clock runs out but you never ever stop. Kane seems keen to be England captain for the finals, with Rooney's future as an global in question.
"They get two goals from nowhere, but we still managed to claim a point".
Gareth Southgate is looking to name a new skipper now that Wayne Rooney's worldwide career is seemingly winding down, and Kane staked his claim by rescuing a point for the Three Lions with a stoppage-time equaliser at Hampden Park on Saturday. "A lot of people would say we're favourites to win the group but when you look at the other teams Scotland are as good as any of them". They have got great threats but we need to concentrate on ourselves. I can not remember anyone hitting a better free-kick and hitting another one straight after.
"I thought the boys put a great effort in, especially as some hadn't played for a long time and you could see we were getting a wee bit exhausted towards the end".
"First and foremost they were definitely great free-kicks, "he said". I don't think he did much all game.