Yes but even though Naruto is caring towards the bijus that doesn't mean they are related. Ideals don't mean they are related a lot of people in the village have the will of fire, but I doubt they are all blood related. Also Kurama didn't think to highly of Kushina or Mito, who were both members of the Uzumaki clan. Also the younger brother or older brother could have liked and respected the tailed beasts, but we don't know.
Don't get me wrong I notieced that Gedo was wooden and that the Jubi has a lot of Plant like related things.
Yang governs the soul=life force. Also I believe that kabuto's technique which allows him to control inorganic matter in manga chapter 582 and make it do his bidding is also yang release. I believe this to be the case so if this were the case wouldn't the younger son have the a natural ability to perform would release. Because combinding water and earth chakra would give you wood, but lets say that this natural affinity was combined with yang release would give you a very strong wood release like Harashima. Now another way this could go is that the jubi simply has this form since its like a big ball of natural energy and is like a force of nature so that's why it has a plant form.
Also, lets say that the younger son inherited the jubi's body, and the elder had the eye. I don't believe the Demon's chakra influence can last through many generations, because Look at Tsunade she doesn't have the wisker marks. Mito was the first hokage's wife and she gave birth to with the seal, and it looks like her grandchildren don't have any signs of Kurama's chakra influencing it.
Also if you look at the background the people from the Uzumaki side don't have red hair. So it seems that not everyone has read hair.
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To go along with your theory with the Senju's body coming from the Jubi, what is the Uzumaki clan was the sages body without the Jubi's influence weeded out. The Hyuuga clan could be the same except the Elder brother with most of the Jubi's influence weeded out.
I still think the younger son's descendants are the Uzumaki and the Senju combind.