Would you support a federal handout to former employees of factories that move operations to other countries? As you say, a small group of Americans is suffering for the benefit of the country at large; this is a way the country at large could help make up for that.
This is called Trade Adjustment Assistance, and AFAIK it's near criminally ineffective. I hope you can imagine a few reasons why that might be inevitable.
But hey, I'll pay for tens, maybe hundreds, of billions of dollars for largely ineffective programs if it's the price of substantially freer trade.
