I think it's workable with a Genasi.
As far as feats go, I'd take Barbarian Armored Agility to shore up your AC. I'd pick Arcane Implement Proficiency Heavy Blade, and probably fight with a greatsword, or Mage's Weapon Full Blade. This also opens up the door for Focused Expertise once you decide on your weapon of choice. Elemental powers are going to become your bread and butter once you pick up Elemental Empowerment.
Depending on how the game goes, and how your party mechanics work, you may need Toughness or Durable. Or maybe picking up some of the Genasi resistances can serve a similar purpose.
I'd stick with Close powers for wizard attacks, so as not to provoke opportunity attacks. For dailies, I'd try to find stuff that helps your barbarian side. Something like Bigby's Icy Grasp or Visions of Avarice can help you pick on targets one at a time, while your spell keeps another target busy. The former would also do pretty good damage thanks to Elemental Empowerment.
I'd grab a barbarian rage that helps more than just your barbarian powers, and does not rely on a tertiary stat. Something like Macetail's Rage would probably be good.
Another route you could go is Eladrin. You could use a pair of longswords as dual implements, as well as Whirling Rend. This character would have a rather different feel than the Genasi above. You could in this case spend a few feats to use your sword as wand, and go with wand mastery through hybrid talent. It would be rather feat intensive (you'll need to spend a feat on leather armor as well), and not quite as durable, but Fey Step can give you an easy way out of sticky situations.
As far as feats go, I'd take Barbarian Armored Agility to shore up your AC. I'd pick Arcane Implement Proficiency Heavy Blade, and probably fight with a greatsword, or Mage's Weapon Full Blade. This also opens up the door for Focused Expertise once you decide on your weapon of choice. Elemental powers are going to become your bread and butter once you pick up Elemental Empowerment.
Depending on how the game goes, and how your party mechanics work, you may need Toughness or Durable. Or maybe picking up some of the Genasi resistances can serve a similar purpose.
I'd stick with Close powers for wizard attacks, so as not to provoke opportunity attacks. For dailies, I'd try to find stuff that helps your barbarian side. Something like Bigby's Icy Grasp or Visions of Avarice can help you pick on targets one at a time, while your spell keeps another target busy. The former would also do pretty good damage thanks to Elemental Empowerment.
I'd grab a barbarian rage that helps more than just your barbarian powers, and does not rely on a tertiary stat. Something like Macetail's Rage would probably be good.
Another route you could go is Eladrin. You could use a pair of longswords as dual implements, as well as Whirling Rend. This character would have a rather different feel than the Genasi above. You could in this case spend a few feats to use your sword as wand, and go with wand mastery through hybrid talent. It would be rather feat intensive (you'll need to spend a feat on leather armor as well), and not quite as durable, but Fey Step can give you an easy way out of sticky situations.