The President clearly does not have that sort of power. The power of that office has been exaggerated to a crazy degree. Regardless of what he wants, President Trump can't shut down the TSA, or for that matter deport Muslims or build a wall on the Mexican border.
I can't see Congress abolishing the TSA. Just bringing up the idea will give a representative's opponents tons of ammunition to paint them as "soft on terror" and endangering Americans. People are fearful of this stuff. To the extent that people dislike the TSA, it's only because they're more annoying and slow than necessary, not because people think the whole concept is bad. If a member of Congress could come up with a way to improve the TSA then I imagine that would pass pretty easily, but of course that's a harder job.
Abolishing the TSA doesn't mean ending airport security. It would mean replacing it with privatized security. The TSA is universally hated so it wouldn't be that hard to find enough Democrats to go along with it.
I can't see Congress abolishing the TSA. Just bringing up the idea will give a representative's opponents tons of ammunition to paint them as "soft on terror" and endangering Americans. People are fearful of this stuff. To the extent that people dislike the TSA, it's only because they're more annoying and slow than necessary, not because people think the whole concept is bad. If a member of Congress could come up with a way to improve the TSA then I imagine that would pass pretty easily, but of course that's a harder job.