there will never be a secure border or a solution to illegal immigration until mexico's economy is more in line with that of the US.

The best thing the United States could do for illegal immigration is help Mexico invest in its own infrastructure. Way more effective than doubling the border patrol or building a fence!

Immigration is ultimately utilitarian in purpose. Folks who want to make America a better place through some sort of productive business should be more encouraged to come than people who simply desire employment.

I'm guessing you just aren't familiar with many founding Father quotes on the 2nd ammenmdent.

I mean, considering Sepration and Church and State was from a Jefferson letter, A letter from Thomas Jefferson is a good place to start.

"The constitutions of most of our States assert that all power is inherent in the people; that... it is their right and duty to be at all times armed."

Not only did Jefferson see it as a right to bear arms.  He thought it should essentially be compuslatory.

"A strong body makes the mind strong. As to the species of exercises, I advise the gun. While this gives a moderate exercise to the Body, it gives boldness, enterprise, and independence to the mind . . . Let your gun therefore be the constant companion of your walks."
--Thomas Jefferson, Letter to his nephew Peter Carr, August 19, 1785.

"No freeman shall be debarred the use of arms (within his own lands or tenements)."
--Thomas Jefferson: Draft Virginia Constitution with (his note added), 1776. Papers, 1:353

"Laws that forbid the carrying of arms . . . disarm only those who are neither inclined nor determined to commit crimes . . . Such laws make things worse for the assaulted and better for the assailants; they serve rather to encourage than to prevent homicides, for an unarmed man may be attacked with greater confidence than an armed man."
--Thomas Jefferson, quoting Cesare Beccaria in On Crimes and Punishment (1764).

You can find quotes for this for pretty much EVERY major founding father, disent only being found in a few of the lesser known people. 

Essentially the Founding Fathers wanted us to be Switzerland.  A country where every able bodied adult man is armed and ready for war at any time with little or no standing army.

The second part being sadly unreasonable due to the complexity of modern weapons.

I don't think anybodies ever argued Immigration should be left to the states.  At best the only arguement they've given is "The federal government isn't doing it's job let US do the job for them.

Additionally these people wouldn't be queue jumping.  If anything they'd be Queue INCREASING.  Since a successful buisness means more jobs, which means a need for more population... which means more immigration.