Impossible, a conservative "3rd Party" only serves to elect RATs. (See: History)
Unless and until you completely have a majority of something in either the House or Senate, whoever does WILL control the committees and the floor votes.
How many decades do you have?
Besides, there are already 53 "third parties".
Once the Republicans were a 3rd Party. Maybe we need to take over one of the existing 3rd Parties. Its that or be locked into the Two Party system—with outany real differences—we that have now. Rino Republicans or Progressive Democrats until they merge into the Progressve-Workers party in the future. Now they just trade jobs—in the future a one party state will surface—and elections will be forced—and rigged.