I have slept on it.
I think that the placement of the card being in the card details + a way to assign it in the Quick Add Magic is plenty enough. My previous idea has a painful issue: If my filter has ranges (like time based), if I change my card from one column no another, what’s supposed to happen, which value of the range should I apply? So, back to the first proposal, have quick add magic support placement in cunjunction with the display and change of the property in the details view.