@Relly-I did not hear him make any argument other than that the way Trump is trying to solve the problem is not compassionate and the backlash seems to make that a pretty general concensus as far as majorities go.
The question "So why is it the responsibility of Joe Blow American to save every poor person in the world?" is fair but not well contextualized.
As you probably already know the President of the US (Economist in chief) must seek to grow the US economy each year or he/she and his/her party will likely be voted out. Since the US has largely pursued an expansionist strategy to growing the economy, that is participating in global markets and as well protecting its global partners from adversaries such as Russia, China etc. International GOOD WILL is an asset that the US pursues to better have a welcome seat at any table it seeks to pursue any national interest. In this way, the US gains political, economic and social influence around the world and more likely to successfully market the American brand to the citizens of those countries.
So as such the US must try to be perceived as a friendly/humanitarian nation. And this must be comprehensive including but not limited to human rights issues with the Judicial system, Immigration and Military tactics (No Torture). So they sow goodwill and hope to reap an expanded reach into other market beyond their borders. There are also National Security considerations but I will not be talking about that because the current President is more isolationist, which in my opinion has major limitations for a capitalist economy.
So to answer or try to answer that question, it is not the responsibility of Joe Blow personally but it does require Joe Blows' participation to achieve such expansionist ideas. It is kind of similar to the healthcare system. It is not Joe Blow's responsibility to pay for ER treatments for people who can't afford healthcare but they still have to because it's a system whose integrity depends on the participation of Joe Blow. Sometimes he loses but he also wins sometimes. This is the concept of society in the national context and then think of the world as an international society. It is the nature of commerce.
"You crossed the line first, sir. You squeezed them, you hammered them to the point of desperation. And in their desperation, they turned to a man they didn't fully understand." -The Dark Knight