Judaism without G-d

Hi,

Yesterday I read this blog on ToI and it kinda stuck in my mind – https://blogs.timesofisrael.com/judaism-without-god/

It also contains this controversial point:

Rabbi Greenberg comes to the conclusion that Jews are no longer obligated to observe the commandments. He believes that G-d has broken His covenant with the Jews due to the Holocaust. Since G-d failed to live up to His side of the covenant by protecting the Jews, the Jews are no longer obligated to keep their side of the Covenant either.

I found some discussions on this sub debating why this event happened and I am sure it has been discussed, but this is the first time I come across an opinion that G-d has broken His side of the Covenant.

What are your thoughts on this (or other topics from the article)? Do you think that without G-d, the Jewish identity will fall apart?