Good innovative thinking: we can't have too much of that.
I do think though, that in our system the Senate's role in tempering the volatility of the House is needed. The 'other side' would need only a bare majority in the House and the presidency to get its way completely.
The abuse of the filibuster is , to my mind, the central problem. The Republicans have made it into a mechanism for requiring sixty votes (to end a filibuster) to pass anything, which is contrary to the Senate's own rules. Limiting it in some way is necessary to restore functionality to the Congress.