1. How we can appear to have separate people with unique conscious experiences. — Tom Storm
Idealism is not the view that there is one mind (yours). That's solipsism.
I am an idealist and I believe in billions of minds. And so did Berkeley. Note, the basis upon which one infers the existence of other minds is going to be the same whether one is an idealist or a materialist about them (with one exception - the idealist will typically posit one extra mind as the mind who is bearing the mental states constitutive of the sensible world we're all inhabiting). So, although many confuse idealism with solipsism, it is materialism that is the more stingy view when it comes to positing other minds.
2. How reality (such as it is) appears to be consistent and regular. — Tom Storm
The external sensible world appears to be external and singular - that is, there is 'the' external world, not lots of them. Conclusion: the sensations constitutive of the external sensible world are the sensations of a single external mind. One then concludes that as the sensations seem to cohere, then the mind whose sensations they are is a very orderly one with an extremely good memory.
3. How evolution tracks to idealism. — Tom Storm
The evolutionary process would describe the thought process of the mind whose sensations constitute the external sensible world.
4. Whether we require a universal mind for idealism to be coherent. Other models? — Tom Storm
There needs to be a mind bearing any sensation that there is. If one supposed, for instance, that the external sensible world is not external at all, but a figment of one's own imagination, then one still has a universal mind on the books, it's just that one has made it one's own (unjustifiably, of course).
5. Whether the Copenhagen Interpretation and the perceived flaws in a materialist metaphysics have been key in a recent revival of idealism? — Tom Storm
No, for science investigates the behaviour of the sensible world and does not take a stand on its composition. That is, whether the sensible world is made of mental states or mind-external extended substances is a question in metaphysics that science has no bearing on.
6. What might be the role of human beings in an idealist model? — Tom Storm
There's no connection between idealism and us having any particular role. Note, to have a role you need to have been created for a purpose. Well, it is consistent with idealism that we have not been created for any purpose (for idealism is not a view about how minds come to be, but a view about what reality is made of). And it is consistent with idealism that we do have a role. (And it is consistent with materialism about you that you have a role - if your parents created you in order to stop up a hole in the wall, then that's your role).
The sensible world, on idealism, is the creation of a mind. And this means it can in principle have a purpose. But then that's true if the sensible world is material as well, as nothing stops that from being the creation of a mind either (it just would not be 'in' the mind in question, that's all).