Well, for starters, dwarves in Magic and most other fantasy IPs (not to mention mythology) live for hundreds of years, and I'd argue that's quite an advantage over humans. Whatever area of expertise a dwarf puts his mind to, be it forging, architecture, magic, masonry, potion making, cutting gems, learning languages, fighting, strategy, becoming a scholar or a musician or a poet, from a human perspective he'll have entire lifetimes to achieve perfection.
Think of the flavour text on
Arcane Teachings (Judgment version). And I'd argue that's the
real reason why dwarves are superior artificers and all that. That's not even talking about other, smaller advantages they might have, like being tougher and more enduring. Willpower might be another thing you could give to them, and they probably don't need quite as much sunlight to survive.
When I say I want 'classic red Magic dwarves', I certainly don't mean
parodies of dwarves. Having a drinking culture doesn't make them alcoholics (it's probably a lot harder for a dwarf to become addicted to pretty much any substance than for a human - in before someone says "gold"), being red doesn't make them perma-angry berserkers, being blacksmiths/miners doesn't mean they're always brandishing a hammer/pick, being short doesn't mean they all have a Napoleon complex.
And yes, when you work hard, it's only fair that you'll also party hard. Besides, a realistic dwarven society would probably be a lot more specialised than just having blackmsiths and miners. There is no reason why it wouldn't. Just look at the things I listed above, and that's just a fraction of what would be going on there. You could even come up with different tribes or clans of dwarves that all dress differently and have different customs and all that and all come together in a big, sprawling melting pot of a dwarven metropolis underground.
As to differentiating them from Vikings, that's actually pretty easy. I'd have the Vikings be mostly farmers, traders, fishermen, explorers, pirates etc., which is pretty much what they were historically. The only part where I see a significant overlap with dwarves (on planes that aren't Ulgrotha) would be the trading, and that's actually perfect because they'd produce very different goods that they could then exchange.
And you could have a Viking trading ship with a dwarven interpreter on board who speaks 20 languages, that would be handy, but other than that, I don't see a lot of potential for them mingling too much. When it's all about battle and warfare, sure, I guess they would be a lot more similar, but it doesn't need to be all about that.
War can make any culture look one-dimensional after all. And if that's still not enough, you could give the dwarves a funny fantasy skin colour like those purple rock dwarves Barinellos mentioned to set them apart visually.
Format your text better, please. Ow.
Okay, now I know what you are talking about, after splitting up your text so I can see each point you're making.
And coming from the flavor text for that card you showed me, it's possible that they communicate ideas more slowly.
That's just useful enough for them to have weaknesses that would differentiate them from humans and not be complete idiots or parodies, so I guess that's useful now.
dwarf society that actually takes advantage of these differences. Like, a slowly-communicating society where these weaknesses create a stagnant, unchanging society ruled by a harsh dictator. Possibly with
style references to video game cruelty potential.
Oh, and dwarf/elf would be like cute little leprechauns! *frying pan* Ow! Ow! I'm sorry! I was kidding!
Remove humans from magic.