More than Mystery, I'd be worried about the Zorg Cannon, is it a gun of some sort, like listed in his weapon mastery? Because it would be pretty damn useful on an open field like that, as Ra's doesn't seem to have ways to dodge and it would be hard for him to get close while being shot from 20 meters, assuming Philip starts with it.
Other than that, Ra's seems to have the advantage on all the rest. Ra's has the battlefield advantage, as he knows the place and how to move on it, as well as take advantage of it by making the opponent slip, and Philip may naturally have problems staying balanced due to moving on ice.
In close combat Philip appears to be skilled, yes, but Ra's feats seem better, being Batman's trainer and almost equal to him at the end, and is also the leader of an entire organization of ninjas. His bladed gauntlets are specifically designed to block blades and disarm the opponent, and he is quite skilled with them, I can see him doing it to Philip, still accounting the latter's mobility problems. (all the Ra's' stuff I mentioned can be seen
here). Ra's also has the LS advantage, an addition to him if he goes for disarming or similar close combat techniques.
I'm not sure how much useful would be Philip's buffs and heals, if he can pull them off while engaging in combat with such an opponent (I don't know if he cal heal slashes and stabbing) and in this environment, which could also dampen his aim and makes throwing stuff less useful.
Sob and Coin Trick are actually the most useful skills in this context.
But at the end of the day I'm more prone on voting Ra's, but I still need to see how the cannon works and how much in-characater is for Philip to use it.