So....all of the problems you've mentioned, and they ARE legitimate issues....can be resolved via means other than eliminating birthright citizenship, or adopting open borders. So can we agree to attempt implementing other measures and policies first before jumping to a drastic and likely highly-disruptive policy shift?
>>>but in order to qualify for such status they need to be [almost] drown in the sea or [almost] killed at the border.
There's not much we can do about natural geography. I'm not sure what alternative course of action is suggested in the case of, say, Cuban or Haitian refugees attempting access by boat. Secondly, no one is "almost killing" refugees that show up at designated legal points of entry to the country. Finally, anyone other than Mexican citizens attempting to seek asylum/refugee status by crossing the US-Mexico border is probably in error (I wouldn't go so far as to say "not acting in good faith").
Consider this from: [1]
"Once refugees or asylum seekers have found a safe place and protection of a state or territory outside their territory of origin they are discouraged from leaving again and seeking protection in another country."
In other words, Hondurans/Guatamalans/etc... should not be transiting Mexico to seek refugee status in the US to begin with.[2]
[1]https://en.wikipedia.org/wiki/Refugee#Restriction_of_onward_...
[2]https://www.unhcr.org/3c064aab4.html