If I have the choice between someone that wants me to change my life because God wants me to (or their interpretation of God wants me to), and someone that wants me to change my life because Big Government demands that I do so, it’s a very difficult decision on which one is more objectional to me. I’ll pick third party each time. I agree with conservatives on pro-gun, free market economy, religious freedom (especially in regards to ACA), lower taxes, and less regulation. I agree with dems being pro-choice, pro-gay rights, ect.
So find a way to reconcile that, and I’ll put more than a few toes into your big tent. Might even vote on your side, instead of third party.
We must find common cause with libertarians on the areas you mentioned. Of the problems we can make better right now, most are due to the size of government and the loss of freedom that results from big government.
However, if being pro-gay or pro-choice means legislation to advance such positions than the person advocating such legislation is for bigger government, which is not particularly Libertarian.