You and I agree. However, historically you may be overlooking the basic Presbyterian-Anglican theological shootout that was a feature of colonial and post-colonial America.
Never one to sell the Calvinist work ethic short, it is still only fair to point out that the Congregationalists of the Massachusetts Bay Colony were not what I would call tolerant of other schools of theology. E.G., whipping Quakers naked through the streets, pillorying the odd Anglican, and exiling the Baptists and Unitarians to Maine. Check out Roger Williams, Anne Hutchison, etc. They maybe had a 10% difference with the Congregationalists and were exiled. Thank goodness America had at least graduated from burning heretics at the stake ... still happening on all sides of the theological divides in contemporary Europe!
In the Bay Colony, you had the choice of toeing the Congo Line, keeping a very low profile, or leaving. In the Protestant world, one can find a church for every shade of thought, opinion, church structure, and biblical interpretation. There is, IMNVHO, a political analogy here. If one wants to be in a political party that adheres 100% to one's school of political philosophy, let me recommend multi-party France or Italy, or some other Euro outfit that has proportional representation in a parliamentary government. In those countries, one can find a political party for every shade of political thought.
As screwed up as the American Two-Party, Win-Lose System* is right now, IMNVHO, it would not be improved by embracing a Three-Party System.
*Again IMNVHO, the problem we both see is that the Two-Party System has left us with what is in effect, a One-Party System, the incumbent government party, with a Center Left Wing, and a Center Right Wing. In this environment, can the Libertarians win an election? I fear the answer is going to be "NO." What they can, and have done (see VA) is tilt the whole rotten cart to the Left, by weakening the Right.
My question: "Is that a good idea?" IMNVHO, it would be healthier to strengthen the Right by staying in the GOP and fighting for better candidates. Your question is probably going to be, "Yabut, given the financial and other strengths of the GOPe, can that actually happen?"
Wish TF I really knew! In the meantime, I truly believe that the country as we know it cannot survive Democrat power and am unwilling to risk handing it to them.