Having tried both IK and gear suggested in this guide (except weapon, that was eDeath Colossus Sword => eBotD War Pike), I can say there's no contest in terms of safety and speed.
There are several problems with IK...
1) Shattered corpses - You WILL break all of the non-boss Council members, so Find Item is next to useless. The main reason behind using a Barb over another class is getting the double drop.
2) Lack of MDR - You need 25+ MDR to nullify the Hydras, even under Conviction. That is a huge factor in the difficulty of the run. Since the IK set has no innate MDR, you are left using BOTH of your rings for Dwarf Stars, or socketing Mal runes.
3) Low damage - The physical damage of IKSC just doesn't compare with even a bad roll on an Oath. This doesn't give you enough leech to be comfortable, in my experience. There only being 10% LL on the set doesn't help either.
Just my 2 cents. I use my IK Barb for Thresh/Eldritch/Pindle runs, since the first two are innately cold immune, so they don't shatter and I can hork them with Ali Babas. Pindle only breaks maybe 30% of the time.