Tilting the bike starts with the mount. The more tilt, the easier. The dismount tilt is more difficult for two reasons.
If you have been riding for say an hour, that repetitive motion puts your body in a fixed mode. You actually lose flexibility and all that stuff about stretching is more than less, thrown out the window.
After riding when you come to a stop, you unclip one foot, your favorite foot. The other foot becomes the sole support. Negotiating the tilt angle becomes a juggling act. So you gotta unclip both feet, one at a time. Then you can arrange the tilt angle easier.