We're in a bit of a pickle, there's many version on how the senate could be open for more participation,
Here's the bullet points:
A) Maintain the current legislation means keeping out from the Senate the Delegate, Chief Justice and Ministers - full separation of powers
B) We eliminate cabinet from head of executive branch allowing ministers to be in the Senate and be the Speaker and vice-versa
C) We eliminate cabinet and senate from head of branchs, only Delegate, Chief Justice and Speaker are heads, but with a clause that heads of branches cannot perform roles on other branches (Ministers can't be Speaker and vice-versa, Delegate can't be senator and vice-versa)
D) We eliminate cabinet and senate from head of branch without a clause impeding a Minister to serve as Speaker and a Senator to serve as Delegate. in other words, the Senate is open to all, with a clause only impeding heads of branches performing the role of other heads of branches (Speaker can't be Delegate or Chief Justice)