No, that's not the sole view in Hinduism. As you have stated, that is the view of the Advaita Vedantins, the school of thought preached by Shankaracharya. As per them, the whole of our existence including the body, atma (individual soul), etc. are illusion and unreal; Brahman alone is only real. They do not even acknowledge that jiva is different from Brahman. So their tenet is:
brahma satyam jagat mithya, jivo brahmaiva naparah
-Brahman is real, the world is unreal. Jiva is Brahman itself, not different.
But as per other schools of thought, the world and the body are not unreal, but temporary. And soul is the ever existing permanent entity. Because body is subject to birth and death, but the soul is not, the soul is considered as the actual identity of a jiva and given more importance.
Atma is nothing without the body?
The view that atma is nothing withou the body is incorrect. It is because the body has a dependent existence, but the atma does not. You said this because you feel atma has no identity without the body. But the truth is, atma has no identity irrespective of whether it is in the body or not. Atma itself is devoid of material name, form and quality. So doesn't matter whether it stays in the body or not, it always maintains its true identity of no identity. It means, even if the body doesn't exist, atma will not lose any of its inherent quality and existence. Cessation of body doesn't have any impact upon atma. It is because atma stays in the body untouched by it just like the all pervading sky:
yathā sarva-gataṁ saukṣmyād ākāśaṁ nopalipyate
sarvatrāvasthito dehe tathātmā nopalipyate [BG - 13.33]
Like the all pervading subtle space doesn’t mix with anything, so also the soul situated throughout the body doesn’t get mixed.
But if the atma ceases to exist, then the body will become dead and lose all its features like liveliness, growth, activity, etc. So because body is depended upon the atma, but not atma on the body, it is the atma which is superior.
Now the thing is, neither the atma, nor the body can alone give rise to any sensible meaning. Both has to be present together for existence to exist. But existence is not eternal, it will dissolute one day. Hence, all meaning will be gone. There will be no one else to ponder over whether body or the atma is greater. In that state when nothing existed, it is atma alone that existed:
ātmā vā idameka evāgra āsīt [Ait. Up. - 1.1.1]
- Atma alone was present in the beginning.
For these reasons, atma being independent, is superior. And body (product of prakruti) being necessary for a meaningful existence is real but temporary.