Icewind Dale III...it could be done. And done well. But it shouldn't be a direct translation of the rules, it would require some massaging. It would be really interesting to see how a computer game handled Inspiration and granting Advantage and Disadvantage...
Well Beamdog have mumbled about wanting to produce a new D&D game a bunch of times after updating the old Bioware Infinity Engine ones. If that were to happen they could well use 5E.
Confirmed. Details are sketchy - and there's no indication about what version of D&D it'll be using (or if it uses D&D at all) - but Beamdog has said it's developing a new entry in the Baldur's Gate series.
Edit: and from the source. Looks like it won't be 5E.