Keep in mind that using two eyes vs. one changes the point of impact for the same sight setup. In other words, you'll need to adjust the windage on your ironsights for whichever method you choose to employ. Switching back and forth will alter your point of impact when aiming at the same "spot" if you do not.
The other option is to add a second sighting tool to your weapon that is either set up for or allows the use of the "alternate" method, i.e. an occluded eye gunsight (Trijicon reflex), etc, and keeping the iron sights set for the old 1-eye method.
Because two-eye shooting depend on binocular vision to work correctly, there are several issues that are unique to it and explain why it isnt more popular.
A gun's zero with two eyes open is only good for a particular person - because every person has slight differences in distance between their eyes, the stance they shoot in, and the amount of phoria (eyes don't track together perfectly) they experience, each gun will have a different zero (or impact point for a given zero) for every person who picks up that weapon when using both eyes open. See also
stereopsis.
The two-eye zero is only good at a specific distance. Again; because of the tilt of your head, distance between eyes etc. the two-eye zero will be exactly on target at only one range. At all other ranges it will show both horizontal and vertical deviation. Outside of 100yds, this MOA divergence increases rapidly. Deviation can be huge too - 4-8 inches even over 100yds. See also
parralaxIf you are right-handed; but left-eye dominant (or vice versa), the concept doesn't work as well since it relies on combining the views from your weak and dominant eye. One eye does most of the work, providing most of the sight picture.
There are schools of though (and training) regarding combat shooting that de-emphasize the rear sight, (i.e. front sight, point shooting, etc) and in some cases the front sight as well (instinct shooting, hip fire, cowboy action shooting, etc), and these methods can be very useful at the very short ranges found in airsofting (where 60-70 yards is long range), as they teach one to focus on the target, rather than the sight(s), making for faster, more responsive shooting in close quarters while avoiding tunnel vision and other flaws associated with the proverbial bench rest shooter.
But for accurate, long range RS shooting, the old standby method taught in basic training (one eye, both sights or pre-sighted optics) is still the most effective, which is why it is used by marksman and sniper competition teams (and long distance big game hunters, etc).
Historically, rifles and pistol (including military ones) didn't have field-adjustable windage (example: Mauser Kar-98, M1911A1, AK-47, etc), so the one-eye method was the only usable method, they came pre-zeroed from the armorer/armory, and the one-eye method allowed anyone to use any weapon with equal ability and without the need to alter the settings.
I recently had a personal experience that brought this to light for me. Went out shooting with a friend, and like most such outings, we shot each others firearms some. Doing this I found I couldn't hit jack with his guns, and likewise he with mine. We eventually figured out why....largely my guns were zeroed for my eyes (complete with my left eye dominance), and his were zeroed for his (he was smaller in stature, i.e. eyes closer together and right eye dominant). So trying to use the sights was actually throwing off our aim, since they were not set up for the active shooter. When we switched up to the old one eye open method of yesteryear, our accuracy with each other's weapons improved a bit, and if our guns had been zeroed with the old "universal" 1-eye method instead, we would have been able to use each others weapons without any problem at all. Instinct shooting, i.e. not using the sights at all, was actually the most accurate method given that the sights were "off" for the other person.