Art of the New Party Deal
Of course they would. Duverger's Law is alive and well--as long as we have "first-past-the-post" elections for Congress and for Presidential electors, we will have a two-party system. A new "Patriot Party" will either replace the Republican Party, fade to irrelevance within a cycle or two, or will never be relevant in the first place. With Trump wisely and quickly backing off of the idea, my money is on the last.