Because it's known that only a selected few with a strong enough body can do it and Uchihas aren't known to have strong bodies. No random person became a Jinchuuriki, they did tests where the Jinchuuriki couldn't handle the Bijuu such as the one who came before Bee and he even said his brother and father couldn't contain the 8 tails
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. Having strong chakra doesn't mean their body can contain Bijuus. Also not every Uchiha even had Sharingans, Sasuke said only a selected Uchihas could awaken it so it's different than the Uchihas who all had Sharingans in the time of war that Madara grew up in.
It's not that not any Uchiha could become a Jinchuuki, it's more that only a very selected few can become Jins and only Senjus and Uzumaki's are known to have strong bodies. Uchihas get the eyes to control Bijuus while Senju's/Uzumaki's have the body to contain them.