Ifrit's Claws have a higher base Damage value, which goes the longest way as far as DPS is concerned. It also has the extra damage proc. The only thing the Honeyclaws have over it is the extra 10 Attack Power - which comes with a penalty of 20 accuracy. The days of 100% accuracy are behind us, so this hurts unless it's made up for.

Personally, until you get yourself a pair of Ifrit's Claws I would recommend Cobalt Claws, preferably HQ, melded with as much STR as you dare. Without any penalty to accuracy you can maintain the gorget and rubellite rings, and if you find you have any issue with accuracy then you always have your explorer's choker.

Just know that a point of STR is better than a point of ATK until STR caps at ~350. It's 2 points of STR for every 3 points of ATK iirc until the cap, then vice-versa. Most important though, is the Damage value of the weapon and in that regard the Ifrit weapons win so long as your accuracy isn't crap at base.