Probably not.
I used to use facing all the time in 1E and 2E games I played, but when 3E hit and dropped facing, it didn't take me long to realize how much more I enjoyed the game without it. I suppose I could go either way, assuming that the system was written from the ground up to accommodate it, but my preference for a D&D-style game would still be to just drop it.
One of the huge problems that I could foresee with trying to use facing nowadays is using D&D miniatures with it. D&D minis have round bases, so I'd have to mark the bases somehow to indicate the figure's front. A little sticker or something would probably be fine, but it's still an extra prep thing I'd have to do for the game, and I have a lot of miniatures. Whenever I paint pewter miniatures, I put them on square bases. That was mostly a legacy of facing from 1E and 2E games... At one point, I purchased a huge package of about 200 square bases, so I could adapt to facing... But I wouldn't necessarily want to.