I can't help regarding angoras as I have never kept them (though will be watching this topic with interest) but as a rule I find keeping my goats as easy as keeping my sheep.
However all of my sheep AND goats have access to shelter 24/7 for which local sheep keepers laugh at me.
That is the main difference, goats MUST have shelter at all times to use if they choose whereas sheep do not (mine would argue that just because they can make do without, it does'nt mean it's nice
)
Also feeding may be tricky, what is good for goats has too much copper for sheep, what is good for sheep is copper deficient for goats....
I get round this when mine are grazing together by penning them at feed times, the goats in their house, the sheep in theirs. They get let out when they have finished.
I split mine this time of year in the run up to lambing/kidding as feeding each species at this stage is easier for me to do seperately (different licky buckets etc, the goats would stay at the sheeps licky til it was gone
)
HTH