Because Article 5 requires unanimous agreement from all members to be invoked, a conflict between two members would lead to an impasse, as the alliance cannot vote to go to war against itself.
The only time Article 5 has been invoked was following the September 11, 2001, attacks in the US.
So, obviously members are probably scrambling to work something out, but it might be the end of NATO and the start of something else. NATO without the Yanks, but with blackjack and hookers