1) Everyone should accept your basic premise that "we establish full border security, ...... not perfect border security, but we try to make it so that it is more difficult to come here (and be successful here) illegally than legally." How to best effectuate that premise should be fully debated and vetted, but without emphasis re extending the existing wall. The wall sends the wrong signal, is grounded in racism, and its costs far far outweigh the benefits.
2) Generally seems reasonable.
3) Not a bad idea for compromise re practicality vs rule of law, although I would carve out those who unlawfully entered as minors, yet who are now adults. Perhaps put them into a modified bucket (similar to your #2) but with a 7-10 year window, as opposed to 5 years.
4) Not quite following what you mean re government assistance. Again, I put children in a different bucket. Agree wholeheartedly with your sentiments that "We want people to come here to work hard. Frankly, I've always thought if someone was willing to brave the trip here illegally (and if that was their only illegal act), then at least they have some gumption, and we like people who have gumption."
5) Disagree. If born on US soil, welcome to America, my brother/sister!
6) Has anyone yet advocated that we want "immigrants who want to come here and change America or kill Americans as one of their primary goals." America is always changing. It is always evolving. We want diversity. It is our heritage. We have to be careful re favoring white immigrants vs persons of color or persons from "shithole" nations. Balance is good. It ought not be an SAT test. Scores of uneducated people from poor countries came here, and made us better, because they had character, because they loved their families, and because they had incredible determination and work ethic. We want those kind of immigrants in the mix.
6a) I don't have a problem with bucket #2 and #3 being required to pass a rudimentary English test, as they have lived here. But, for new arrivals, I disagree that they pass an English test. English is our language, but not to the exclusion of other languages. I love hearing families in restaurants or hotels speaking in their native language.
6b) Now you are sounding crazy. Immigrants are subject to US laws. Period. The same ones we have to honor and obey. Speaking of oaths, let's first start with President Trump and Mitch McConnell honoring theirs first. And, I don't care if immigrants believe in God. If US citizens need not believe in God, and given that our US Constitution allows freedom of religion (freedom to be an athiest), we cannot require immigrants to take some to blood oath and inventory their pecking order of God(s).
7) Disagree that immigration rules and laws should be established to make the lives of Americans better. That sounds a tad like we view immigration as "servitude." The immigration rules and laws should be fair. Fair to Americans. Fair to immigrants.
The less we make immigration an "us vs them" conversation, the more productive and constructive the reform can become. Trump fails miserably in this regard. Yes, it is why he was elected, but the rhetoric and messaging and cruelty has taken us 3 steps backwards, not forward.