I agree with you. I think the whole approach to math education in the U.S. needs an overall. That means completely rethinking it, not just getting better teachers for the existing model.
You could start by making it much more user friendly and hands on so that students don’t feel like they are trying to translate ancient Greek to solve a simple problem that could be explained in a much more interesting way. I work in software development and one of the worst things you can do is name your variables things like a,b,x,y and z because it makes code very hard for others to read but math textbooks are all over that technique and worse. Just make up any reasonable example of what those letters represent and what the answer means. Oh hell no, they won’t do that. That wouldn’t be abstract and useless enough.
Believe it or not, it can be fun to figure out when those trains will collide or just how fast that bullet will go if you make it relevant to things students think are cool. You could also ditch Algebra II as a requirement. If you pay attention, you will notice that the GRE (the test for college graduates aspiring to graduate school) has almost no higher math in it. It stops at cleverly designed problems that require no more than 9th grade math at the highest. That should tell you something. All of those extra high school math courses are deemed useless and non-predictive even for college graduates (if someone wants to go to real math graduate school, there is a special subject test for that just like there are many others).
I have no idea what other countries are doing but I would warn against trying to follow the Asian model. Many of them are obviously very bright but they overemphasize math so much that cheating is rampant and the levels of rote memorization that they are forced to do interferes with a healthy life in American terms. I work closely with many native Asians and it is rare for me to be impressed with their problem solving abilities or math skills in real life (there are some exceptions).
Let us not forget that the reason that many Asians are doing it is because they either want to get into the very few slots for good universities in their own country or they are trying to get into any decent American university. U.S. colleges and universities are still the best in the world and there is no shortage of them or students to fill the best ones many times over even if they just accepted students from American public high schools. I don’t buy the argument that we live in a unique culture of ignorance for that reason and many more.