I know it's frustrating when they just keep feeding the enemy team killstreaks.  It's even worse when the enemy team knows how to spawn trap.  Generally, when this happens I just put my Blind Eye/Assassin class on and use the noobs as a distraction to set up my kills.  I figure if they are going to run non-stop to their deaths, I might as well pick up the easy kills while the enemy is reloading.  I remember one time it was so bad that I had earned a heli but couldn't call it in because the enemy team already had one up.  So I shot it down, then 3 heli's back to back from them later (I shot them all down btw) I was finally able to call mine in.  Unfortunately, I had to die along the way to pull it off but I did get mine in the air and a couple of kills from it before they shot it down.

I have a solution to this problem and its called the EMP, that is unless of course though my team-mate excessive deaths my team gets chain EMPed.

I think that the Support Kill-Streaks are one of the reasons so few players change classes during the game.  For many players, their best chance at a lethel kill-streak is the Stealth Bomber, and they really don't care if they have to go 14-30 to get it.  If they switch classes, they will lose any kills they manage to eke out. 

As to why they don't start with Blind-Eye, I can't answer, but I typically only have it as a starting perk on a couple of my 10 classes (not including specialist load outs).

I always have an anti-air class setup, but it's funny because I've actually seen more people shoot down air support lately.

I think more people would shoot down air support if they knew it added to their point streak, or maybe they're just too darn lazy, lol.

Just my 2c.

How about you switch to your Blind Eye class (with a Stinger) & take the air support down?

All my classes have a Stinger (only 1 class has the Blind Eye perk) and I rarely have issues taking down air support without Blind Eye on.

This could not be any more annoying when all you have on your team are non-prestiged single digit level players that have NO idea what's going on, and you're left to deal with the killstreaks.
I hate how I'm often the only one on my teams who even HAS an anti-air class.
Seriously, some people need to start learning the importance of switching classes and actually using your custom class slots effectively. I see even prestiged players being this stubborn.
And I cannot tell you the amount of acolades I have for most classes switched, because it's up in the four-digit area. Not even because I want to use a different weapon, but because killstreaks keep coming up and compromising my ability to even play normally.