Of course they do. That was evident when he was campaigning. Americans elected him for border security.
But what is weird is the conflicting information coming from the Administration. I heard Mulvaney say on video they were negotiating 2.1 billion. Then there is Vice President Pence who is also selling that number to Congress, but Trump says no.
https://start.att.net/player/category/news/article/cnn-burnett_trump_backstabbing_his_vice_president-cnn2
Nothing consistent comes from this administration. What is happening? Are Trump and Pence now divided?
From day one this has been an issue for the Trump Admn. Trump is not a politician and that is a big part of his popularity. He makes all kinds of mistakes, especially talking "off the cuff" and responding too quickly to critics. All that being said, he does recognize when he makes a mistake and he heard his base on this issue loud and clear. I think he recognizes everything is on the line now. He has to win on this or he's done.