I shoot both ways on a regular basis and currently have a switch riser ACS bow in process. I ordered the bow with a left handed riser and I just bought a right handed one from the tg classifieds.
If you pick up a copy of Glenn St. Charles book Billets to Bows from his son Joe on **** you will learn that no less archery icons than Fred Bear and Glenn himself switched over to being lefties for several reasons.
I have a Beaver Creek longbow blank on order that I will build into a double shelf bow. It will be an i beam of phenolic for strength. My intent is to single handedly, unless I can get someone to help, revive the old double shelf bows of the fifties.
Since you are switching anyway may I suggest trying two fingers under right off the bat. Not for everyone, but I have been having great success with it. Take your old tabs, turn them over and they make a great two finger under tab. I just made a left handed Cavalier Elite into a right handed two under tab last evening. Helps to have a power hacksaw available to cut the aluminum. You may need to use a deep hook to make it work.
Right now I own or have in process, in addition to the double shelfer, a right handed compound, two left handed compounds, the switch riser long bow, 2 left handed 3 piece curves, a right handed 3 piece curve, a right handed long bow that can likely be shot off the knuckle left handed, and four right handed recurves.
So yes it is not all that hard to switch.
Would I shoot better if I shot from just one side? You know I doubt it because it a great way to keep your body in balance and your mind sharp.
DDave