Pretty much. You have exactly the same mechanics here as you do with materialism. The only difference is that you posit those things to be composed of ideas.
There's a difference between observed behavior and the true nature of things. An idealist and materialist aren't going to agree on the mechanics of things, because an idealist will always say, "the dreamer is the reason we're seeing what we're seeing" to the question "Why are we seeing this?". The materialist, of course, will not accept that as an answer. That's the mechanics of the issue (which I take you to mean "how things really are").
As an idealist, I'm not going to claim that water is an idea that is made up two distinct ideas joined together. For one, that's incoherent (again, there's the difference between how things appear to be and how things really are- water appears to be made of hydrogen and oxygen. Water is not actually made of hydrogen and oxygen), and for another, I don't have to claim that, because reality is a dream and the foundational substance of things is thought and ideas. Thought and idea can be literally anything, except a logical contradiction.
"I don't think this works in practice. We don't have idealists trying to fly by wishing they can fly. They still live in the same world self proclaimed materialists do, and still buy the same airplane tickets."
The fact that this is a dream doesn't entail that I think I'll be able to fly. I act just like materialists do, but at the foundational level, I don't agree with their claims, such as I don't believe water is made of anything. It appears to be that way, but it's not.
An idealist in a chemistry class will still note twice as much gas being collected at the negative probe as they would at the positive probe. Such consistent behaviors of the idea-of-water and the idea-of-DC-circuits, which seems independent of the wishes of the person performing the experiment, deserves names to call them for pragmatic reasons. "Hydrogen" is a perfectly good name for the gas that comes out at the negative end; that's what other English speakers call it. "Oxygen" is a fine name to call what comes out at the positive end. You could even go so far as to get a PhD in chemistry; even win Nobel prizes for it, and still be an idealist... all you're committing to is that somehow these descriptions are describing ideas.
An idealist in chemistry, when asked "why are you observing what you're observing", will ultimately claim, "I observe whatever the mind(s) creating this reality are projecting." The materialist chemistry teacher will not agree with that.