I’ve been toying with an idea that the government should keep track of purchases (voluntarily and anonymously) and they should have minimum guaranteed.

There is already stuff like that where I live in the EU, it runs basically on (e-)receipts or other proofs of sale. Don't mandatory warranties exist in the US?

that shite from China can’t get insurance

Oh, it totally will, and they will even pretend everything is alright when sold, then by the time you try getting at them the company won't exist.