You don't have any issues of being able to supply enough current, quite the contrary, if you were using a dual regulator supply and "most" of the opamps people use for a CMOY, you would actually have to add additional load (like power resistors) across the rails just to draw enough current to keep some regulators stable, because the opamps themselves aren't enough of a load. AD843 uses more current than most opamps put into a CMOY though, and being a single rather than dual channel opamp, it wouldn't have that issue with the more common regulators like LM317/337.
That is, unless your dual supply were already powering other parts and you were already just about at it's limits, which in itself would be more of a problem regardless of a couple dozen or so mA used by a pair of AD843.
