No, let TSA focus on their core responsibility.
BUT the airport operators should review their current security staffing and scheme to determine if it makes good sense to post some armed security in vicinity of the checkpoints. If someone is going for mass casualties, the checkpoint is a good target ... there are crowds (lots of targets in a small area) & it is located prior to the heavy screening so the attacker has the opportunity to approach undetected.
I remember travelling to Europe in the 80's and seeing police officers or security officers in the airports carrying automatic weapons ... it was a clear deterent in my opinion. After 9/11 we also had the National Guard in our domestic airports carrying M-16s and M-4s. With trained and armed personnel visible, what may have appeared to be a soft target & attractive to an attacker is now significantly hardened and chance of successful attack is decreased.