My personal preference for the Senate would be to make Senators directly accountable to the States and only require their assent in passing laws if they directly impact the States in some fashion.
Kind like a Bundesrat, Ernest?
I certainly wouldn't like Senators elected by a legislature to enjoy the same jurisdiction, like currently. It should be up to the representatives of the people, not legislatures, with their narrow, particular interests, to decide about things like treaties, cabinet and judicial nominations, etc.
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