Marking this as implemented as recent updates have added the ability to press Cmd / CtrlK while focused on a card to “Modify…” (apply color, tag, parent, visibility, junk and more) or “Interact with…” (copy card id, copy link, copy markdown, copy html, like, locate and pin card).
The only things missing are giving a card an icon, but this will only be added once Filtering by Icon is added (and is being tracked separately); and copying plain text / a share link (if these are still desired please create a new feature request to add these to Card Interactions).