Columbia University has fallen

[FlyingClayDisk]

So in that vein FCD if Im permitted I would like to clarify my point even further.

Yes, negotiations and security guarantees are needed, but should they start without the hostage situation being resolved? 

No, they should not.  My posture is, the hostage issue needs to be largely resolved first.  If there's some independent outstanding individuals (like 1-2) then perhaps there's some leeway, but short of this, no, there should be no outstanding hostages.

 

And what of Sinwar? the head of Hamas, does he get to sit back and count his billions in Qatar? 

Not sure I understand your question, but I'll try to respond.  Reading between the lines of your question, I interpret it as..."Should Sinwar be allowed to live?".  So, I'll answer accordingly.  If this was not your question, then please clarify.  Answer is as follows:

Sinwar is a terrorist, and Hamas are terrorists.  He should be hunted down like any other known terrorist.  Hamas cannot be part of the negotiations, so what Sinwar does and where he does it, as unfortunate as this is, is a separate matter.

 

These are 2 issues where Israel's opening statements for negotiations for Palestine, when they are met perhaps Israel will be more likely to negotiate.  

Israel can have the 1st one; it is not an unreasonable demand.  Israel cannot have the 2nd one unless they do it themselves (alone) and stand to bear the consequences of it (again, alone).  This would be akin to Canada asking the US to go assassinate Putin.  It is not the World's responsibility to clean up the entire planet to Israel's satisfaction before they will agree to come to the bargaining table.  That is unreasonable.  Israel has a really bad habit of throwing one or two impossible prerequisites into anything they don't 'want' to negotiate about.  Sorry, but they can require the first demand, but not the second.  If they want that, then they'll need to go do it themselves and suffer the consequences (all on their own).
 

What keeps any other aggrieved and aggravated group, from using the same tactics to negotiate? 

Negotiate for what?  Both Israel and the Palestinians have legal standing for territory in Mandatory Palestine.  I am not aware of any other group in the region who have this standing.  Therefore, there's nothing for them to negotiate for.  They either become Israelis or Palestinians, or they leave.
 

What would have happened, if 2000-3000 of the Mexican cartel had pushed across our unsecured border in the southwest early one Saturday morning, killing raping, and taking over 200 Americans hostage back across the border and hidden in Mexico with the help of worldwide financed organizations. 

What would the American response be?

Excellent question.  Well, this has happened, more than once actually, not exactly like that, but the Iran hostage crisis was one example, and the Grenada incident was another.  But in direct answer to your question, the response would likely be a surgical rescue operation to free the hostages and kill as many of their directly involved captors as possible.  More directly, the answer would NOT be to invade Mexico and take over the country (which is effectively what Netanyahu is doing).  BTW...this was a great question!  Well thought up and constructed.  It provides an excellent platform to not only answer your question, but to also draw parallels to current situation.