Luckily there are other defensive alliances in place.
The broad advantage of having a "felt of society" —mutually overlapping circles— as opposed to a "fabric of society", is that the latter is much easier to tear.
Not well developed would be to our advantage if the casus foederis were in a grey area.
(It's somewhat :lolsob: to note that Thucydides already distinguished between "stated reasons" and "real reasons" behind a conflict; remember "Remember the Maine!"
EDIT: looks like there may not even be a need to be part of an existing mutual defence alliance; sending troops to take part in Operation Arctic Endurance might suffice for an Art 51 response to invasion?