I just wonder, how many who play true warrior that use no magic at all? Most of the builds i see are hybrid of Warrior-mage, Paladin, Mystical-Warrior/Archer, Spellsword, Battlemage and something like that. Most players will use magic at least healing magic because we get it free in the begining

Can the player survive without magic, only take One Handed/Two Handed, Block, Heavy/Light Armor, Archery, Smithing and Speech perks, then using shouts as Dragonborn?

No Sneaking, Enchantment, Alchemy and magic perks.

We can make 100% Mage with 100% magic and survive, can we survive being 100% Warrior with no magic at all?

I do, I mean I use potions for restoring health and stamina, but I don't create them. It's a little tough on the in-game wallet, but money isn't exactly hard to come by in Skyrim.
Or do you mean not even using potions?

Not that extreme, warriors do drinking potions, it is acceptable, but not being an Alchemist.

General rule for warriors...they are not a bright student...if you know what i mean...

Wow...you do survive, how you counter magic?