You are the reason the world no longer trusts America.

We don't care.
Nobody cares.
No American lies awake at night worrying what other countries think about us.

The thing about being the big dog is that de facto is what actually matters in the real world.

If some country accounts for 25% of the world's trade, then that defines who is the big dog. Currently that's the USA.

Various European politicians have been saying "US President {insert name of current president} has upset us and is no longer the leader of the free world" ever since WW2.
Usually followed by naming [some current person who is in the newspaper headlines], and nothing changes. That new "Leader of the Free World" makes a couple of speeches and is never heard from again.

I had a great High School history teacher that said, "Some people don't like me. So what? They can go find somebody else to like."

"The dogs bark, but the caravan moves on".

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I always ponder what's the meaning of "the world no longer trusts America." In concrete terms, just what does that mean? What effect does that have in the real world? What do they do differently?

Europe will stop buying LPG from the US?

The US (most probably) blew up the Nordstream pipeline in 2022, harming Germany, etc. tremendously. What did Germany, etc. do to the US about that? Did they start distrusting the US then? That's kind of a bigger deal to them than what the US government does with illegal immigrants.

They trusted the US after that? And only started to distrust the US when DOGE shut down USAID?