I think this ties into the scene in the movie where love has been lost, all of his life, striving only for love, and he is once again betrayed by his lover, or wife. It's not all her, though, as he relays his blame as well, stating that he's feeling one of his turns coming on, meaning his mood is changing, and it's definitely not for the good. In his head, he fantasizes of lashing out, grabbing an axe, and ending them both, or if not that way, by jumping to their death on the "silent freeway" which tells me that it's probably late at night. "Would you like to learn to fly?" is a threat of throwing her first, then.
"Would you like to see me try?" is another threat, in that state, something has to give, and it matters not too much whether it's her or him, he's had it. I feel cold as a razorblade, tight as a tourniquet, dry as a funeral drum are some of the most brilliant and beautiful metaphors I think Roger Waters has ever come up with to describe the angst and the loneliness of Pink - someone who loves so deeply, yet is so far removed from love; either by circumstances or his own actions, even betraying himself.