It's always been accepted and proper, here in the US , to fly the flag of the US above a flag of another country.
This respect should also apply to people calling themselves _______- American.
Examples:
Asian-American, African-American, Mexican-American. They fly those flags above our American flag.
Proper and respectful would be, American of Asian persuasion
American of African persuasion
American of Mexican persuasion
Etc.

my Anglo Saxon-American neighbor flies the Confederate Flag on his
private property. it's the only flag he flies. is that also disrespectful in
your esteemed opinion ???

What part of two flags don't you comprehend?
If it's the only heritage flag he flies, no problem.
If he also flew the US flag, proper etiquette would be, flying the US higher.
However, the point was, if you're American, the country one identifies with should come AFTER American.
See the examples in the original post.

My neighbour flies an American flag. We live in New Zealand??
They are not from America....

my neighbor on the other side of me does display his US flag higher
than his Nazi Swastika Flag....I sure am glad he is following the
proper procedure and etiquette that has been established here
in the good old US of A....

Again, the topic is,
This respect should also apply to people calling themselves _______- American.
Examples:
Asian-American, African-American, Mexican-American. They fly those flags above our American flag.
Proper and respectful would be, American of Asian persuasion
American of African persuasion
American of Mexican persuasion
Etc.

I think he is American-of German persuasion....etc...etc...etc

Completely disagree with you.

You are trying to make grammar obey political rules.(Not even correct ones).

It has nothing to do with placing one thing above another.

I don't think that flying flags means what you seem to think it means either. If anything, flying your "favorite" flag above another to show you LIKE that place better, is a sign of DISRESPECT to the other country.

The reason to fly the American flag above the others, while we're on American soil, is because we're on American soil. If you do that overseas, just because you are American, you will be disrespecting that other nation.

The hyphenated-American positioning has been as it is since well before modern Americans looked for reasons to be upset with other Americans.

Besides, the fact that "Americans" comes second, means that it is the PRIMARY label for the person. That's how the grammar works. Not the way you seem to imagine. The first word is the MODIFIER. The second is the IDENTITY.

Think of other things you say. Such as "I drive a white car." If we followed your thinking, we would all say "I drive a car white." Which makes no sense.

On the flip side, I drive a truck that's white.
America/American first.
Anything else is separatist.

Well... It's decided.
I'll be hoistin' the Jolly Rogers
on the dawn of the morrow.

My neighbor flies a flag with a picture of an American Flag on it.
Every time I see it I have to laugh.
I wonder if they have picture frames with pictures of picture frames in them?

I once read an article that angered me.
Some town in California flew a Mexican Flag at their post office.
I come from multi-generational military men.
I found it insultingly disrespectful.

But then, most of the US's social trends are insultingly disrespectful.
Just to touch a few...
Our rights are given to illegal aliens.
Prisoners of war are granted our rights.
Flag burning in the media and US citizens arguing for their right to do so.

In the United States and its territories the US Flag should be the Highest most prominent flag flown.
PERIOD

If ya don't like it - Get the hell out of my country!

U.S. Flag Etiquette, Rules, and Guidelines
How to Properly Display the American Flag
https://www.almanac.com/content/us-flag-etiquette-rules-and-guidelines

I have no issue whatsoever with people flying multiple flags, or even just the flag of their heritage. I'm not so insecure and nationalistic that I get offended at the idea of other countries existing. But you know what is offensive? The Confederate flag. It's not even a country, it's a bunch of slave holders making excuses about "state's rights" (to have slaves lol). That Nigerian MMA fighter? Let him fly his flag. Mexican immigrants? Let them fly their flag. Filipinos? Irish-Americans? Bring it on. Those flags don't stand for hatred, but your phobia towards their culture sure does.

Flags; the relative height and possibly the position (e.g. centre of three?) do imply importance.

On words; I think that having the "American" bit last in the adjective means it is the wider influence on meaning. Not totally sure it means it is most important. It does feel like it though. The word American doesn't imply race whereas the prefix of, for example, afro or Cuban; that does I think. In Cuba (where being Cuban does not imply a race!) they may have an American Cuban which may still not have a racial implication but probably has a cultural one. So the Ameri-Cuban identifies most as a Cuban but comes with a whole lot of American attributes (e. g. property owning, industrious, commercially minded, inventive, hates queues, tells you all their personal problems). Thoughts?

I expressed some of my thoughts about flags, and my perception of what they represent in this poem: http://mingle2.com/topic/493329