So here's the problem with the footage. The CNN Graphics are rock steady, the camera is not stable. To make the shot look stable you'll have to first use stabilize motion to stop all camera movement by selecting big enough targets to track and analyzing the footage. I don't believe that the stars will give you a good track. Try using the top of the Trump sign on the podium.
This is a good track of the motion in the last 20 seconds of the shot. So here's the problem. If you track scale the shot is going to significantly change size. Tracking only position and rotation will help solve the size problem but you'll still have the edge problem. Notice that the shot moves nearly a quarter of the frame so you'll have to scale up to about 130% and add some position keyframes to smooth out the camera moves and hide the edges of the frame.
When you do that the graphics, which are already jumping around because you stabilized the footage are going to move all over the screen as you adjust position and scale to keep the edges of the frame from showing. The only way to solve that problem is to either clone them out so they are gone, crop the shot so they don't show, or put a masked copy of the original footage over the shot to try and hide the moving graphics. This screenshot clearly demonstrates the problem. This is not going to be easy.
So, unless you want to spend a great deal of time or can be satisfied with cropping the shot just below the top of the podium graphic and just below the upper right graphic
is no way to make this shot look smooth by simply tracking.
BTW - that footage is not public domain. Folks get away with copyright murder all the time but personally I wouldn't try and do anything commercial with it.
I believe Op just want's the head. Based on viral videos lately (and I remember another post he made about similar thing) it's probably in order to roto it and place it on another body and create a spoof video so not commercial work or copyright murder taking place. Rick suggestion's for the podium is a good way to stabilize the footage:
as for roto courtesy of the trump's campaign you got a blue screen. you can use keylight to try and extract a decent matte. this can take most of the work. the remaining roto you can do manually with animated mask.
you may need to stabilize the actual head movements. in this case maybe the ears could work (just position). start with his left ear and then shift to the other ear as he moves his head... or maybe do this in mocha (render you already stabilized shot). if you do this in Ae, you precomp the stabilized shot and now stabilize just the head.
first you try his left ear
then when it obscures by his face you move just the feature and search region, leaving the attach point, and go to the other ear
this could probably give you a decent stabilized head in a stabilized shot.