Moyes is a top manager...count me in, African.
I don't buy into this whole lack of European experience thing. A manager who's successful in the Premier League for 10 years (which doesn't seem to be in dispute) can manage in Europe. The basic tenets of management will still apply - and he can fine tune the rest, especially with the resources and structure that United have.
Similarly, I'm not sure the lack of trophy is as important a deficiency in his CV as is being suggested. Traditionally, he's always had a small squad, so I'd imagine viewed cup competitions as a slight distraction. If anything, I think the lack of trophies, in the context of Everton's resources (!), points to him prioritising the club over himself. Wigan, FA Cup winners and likely relegated; Swansea, League Cup winners and faded into relative obscurity - indeed, 17 points behind Everton and 3 places below them.
I'm not suggesting he's the perfect candidate for United, but they have a clear structure, tradition and mentality in place, which Moyes embodies, as well as a successful 10 year + Premier League history, which exhibits a far greater quality than more luck based knockout competitions.