Let me now continue. Hinduism basically refers to the indigenous religions of the Indian subcontinent. The only connection they had was the vedas which is not true for buddhism as such buddhism cant be considered a hindu school as people make it out to be you are correct. However you must note that basically the buddha didn't c\say the vedas were false. last i checked i may be wrong he said that the vedas were changed and in their original form by a certain group of sages like Kashyappa spoke truthfully but because this was changed he would not follow the vedic teachings of his time which was combined with puranas and upanishads. In effect by doing this he created from scratch his own religious school which is named after him called buddhism.
However buddhism does not contradict all the vedas. If you look at it it contradicts the puranas , yujurveda, etc.
You see the vedas were basically a way for the sages of that time to write and explain about the concept of energy to common people. The devas and all the "dieties mentioned are simply various forms of energy that naturally occur on earth such as sun, wind, air, lightning, thunder, etc...
The pujas and such performed simply is a way those sages at the time thought they could chant and do in order to invoke the energy. However nowhere does it say in the rig veda that you have to and must do yagna. Yagna is one way to try to achieve the realization of what energy is. However at the same time one can realize the energy without doing puja.
The whole concept of atman came later on. In the orignal veda their was no atman or self so the buddha was correct because all the orignol veda reffered to was soul.
hinduism however has so many schools but They are all correct in their own way like Mahayana and Thereveda Buddhism are correct in thier own way. It is a pluralistic religion or was supposed to be.
The way i view buddhism and hinduism is that hinduism decayed became completely different from the original form and was stuck on caste, sacrifices, and the literal meaning of the texts so he rejected it. Thus it can be said buddhism is different from modern hinduism or even classical hinduism. However it does not contradict the original hindu texts but because he approached it differently than the existing hindu schools and because now and then in his lifetime the vedas were supposed to go together with Purana and etc the two religions are different.
But at the same time Buddhism and the original hinduism before it was changed or being interpreted literally are similiar but different because the buddha created his own philosophy and views that were however influenced in part by the original vedas as spoken by people like kashyappa but cant be considered as hinduism because hinduism truly gained form in the classical period of indian history and late vedic period with the addon of additional texts and so buddhism is different from "hinduism".
But many of the misconceptions held should not be thier because you cant literally interpret the texts of the vedas. Basically the vedas can be interpreted athiestically-polytheistically-monotheistically.
hope this makes more sense. You can say basically that what was hinduism started out as a scientific concept-energy tha needed to be explained through stories and pictures and hymms and pujas but was adapted into the indigenous religious of the subcontinent and thus it became a religion and way of life later on.
It is sad however to see hinduism so butchered and changed by now.
But both buddhists and hindus belong to eastern religions and so you guys shoudl work together rather than fight among yourselves. For IMO all paths lead to the same result in the end and so we should work together to create a peaceful society of toleration and coexistence and understanding rather than hatred and misunderstanding of one another.