As senator, you will be entering in a whole new phase of your life. As a newcomer, you have a freedom of thought and a creativity which will invariably be constrained once you will have internalized the Senate's culture. Use this limited time wisely.
The Constitution defined a container, but not the content. Nothing in it says that the Senate has to be a partisan body. It has become so by choice, due to a particular political culture. Filling the Senate with non-partisan members is a practical first step to its cultural evolution.