“스스로 믿는 프로그래밍 능력이나 문제 해결 능력은 꽤 괜찮다고 ..”

You have to prove the belief to companies in US. That’s why many foreigners write down their degree and experience in their resume. If a company only trusts your belief and hires you, it will have to spend a lot of time and cost to train you to work properly. I don’t think there are many companies willing to do that. I suggest you study somewhere and get a degree. The school does not have to be a great one. That will be a good start for your challenge.

아무리 미국 학교라도 별볼일 (기준이 애매하기는 하지만) 없는 학교 갈거면 다닐 필요 없고요. 이미 나이가 35을 넘어서 40을 향해서 가시고 있다면 B-school빼고는 갈 필요도 없고요. 실은 B-school도 얼마나 투자가치가 있나 싶지만요.

반면에 기술만 확실하면 한국에서 학교나왔어도 될 것 같은데요. 일단 중요한 것은 조그만 회사라도 미국 회사로 자리를 찾아서 미국 사람 reference를 만드는 것이 중요하다고 봅니다.

근데 돈벌고 싶으시면 진짜로 세탁소나 수퍼마켓 사서 하루에 14시간씩 일하세요. 그러면 돈은 벌더라고요. 삶이 찌그러지는 경향이 있어서 많이들 피하기는 하지만.

I agree with Passing.
I recommend you attend parttime Master program.
It might be tough to study and finance program.
Cost of education can be tax deductible.
After you get a master degree, you have a lot of access to US company.
I realize degree is appreciated more in US than Korea.

Here is an extreme example.
I saw a person who want to study bachelor degree at age 58.
He worked his whole life as a mechanical engineer at various famous companies.
His problem was no degree. He says no body look at his resume due to degree. He was a senior mechanical engineer at big company and capable of good work.
At good time he is OK but rough time hes was out of job for 1.5 years and lost all of his saving.

I don’t know how long you want to work for companies.
If you spend couple of years to study and get a master degree, it will secure your future. It will prove your capability in objectively.
Also it will give your chilren good impression.
My wife is over 40 and plan to study next 5 years now.

Assuming you are not too old for that (maybe I am^^, you better start to invest for yourself; enrolling to get an advanced degree in part time. But regardless of that, please forgive me to be a bit rude here to say this: Don’t say or even think of saying what you mentioned above and I quoted below to any of your potential employer, not just interviewers.
>한국에서 좋은 대학 나오지 않았고, 미국에서 경력 또한 이렇다할것은 >아니고. 영어는 능숙은 아니나 의사소통 가능하고(물론 웃어야 할때 >못 웃기도 하지만), 스스로 믿는 프로그래밍 능력이나 문제 해결 능력>은 꽤 괜찮다고 생각하는데…
OK, let me explain a little more. I actually don’t pay much attention to intent of what you said, even though I believe I can see what you are really saying. You can do something good for a company, and there has to be an employer that NEEDS you. If you keep thinking like above, you are killing your own opportunity before any potential employer can do that even.
And pray for finding a way and He will let you know.