It's a very fun class to play. I've completed Act 1 on Inferno and I don't have many problems killing elites as long as I pop my CDs. Playing a 2h barbarian with all only 3 offensive skills (that including passives).
The problem starts with Act 2. The only way to be able to farm there is to outgear the Act buy purchasing items from the AH, but then what's the point of farming it when you have equal or better quality items?
Or, by going 1h + shield (again overgearing, but you won't need as good gear as with 2h/DW). I don't really like the playstyle of 1h+shield so Blizzard either make the other specs on par or I'll just play another class that have an easier time.
I also tried Act 3 & 4 on Inferno. My barbarian is smashing everything in Act 1, in Act 4, I got 1 shot by the boss. I popped 65% damage reduction cooldown, got 2 shot instead.
It's a really crappy farming and itemization design and I get this feeling Diablo 3 have a lot of WoW influence which just ruins the overall experience. Farming in Inferno is frustrating, not fun.