Vedanta (and so Bhagavad Gita) allows people to choose a path best suited to their inclination. There are many predefined paths like Bhakti, Jnana, Dhyan, and Karma, to choose from.

Additionally, there are many subpaths. For example, Bhakti can be further qualified as Bhakti to a particular God, like Krishna, Shiva, Shakti, etc. All these paths are equal, reaching the same destination.

In the case of ISKCON, their organization is heavily inclined to Bhakti Marg and particularly Bhakti of Krishna. In this context, they see Krishna Bhakti everywhere, in every Shloka of the Bhagavad Gita. Even a Karma/Dhyan/Jnana-related shloka in Gita is also understood and interpreted through the angle of Bhakti of Krishna.

Bhaktivedanta Swami Prabhupada was a great devotee of Krishna who achieved the highest state of Krishna Bhakti. Through his eyes, the Bhagavad Gita he wrote is as real as it gets.

Are they wrong or fabricating something? Absolutely NOT!

Their interpretation of the Bhagavad Gita is what is expected from a true devotee Krishna. I would have been surprised if that wasn’t the case.

Additionally, ISKCON’s Bhagavad Gita is the right one for you if you are also inclined to follow Bhakti Marg and more specifically, Bhakti of Krishna.

But, if you are inclined to other paths of Hinduism, you might find their interpretation non-convincing. That’s about it.