I would consider libertarian's part of the Republican party.
They are closer to the GOP then they are to the PDP but I think there are many major differences between libertarians and the GOP:
-Their stance on abortion.
-Their stance on weed.
-Their stance on homosexuality.
-Their stance on Free Speech. Many on the right want to censor kneelers for the National Anthem. I don't think censoring them is right.
Also, the libertarians haven't had a chance to fix the US debt. Both other parties have caused the debt to grow to a lot of money.
What are the flaws of both?
Socialism destroys economies. Minimally gov involved capitalism produces a high sustainable living standard for the average person in such a country. It's why the US has a GDP per capita rise, whereas it is unstable in even places like Scandinavia.
If God doesn't exist, then why do people burn in hell?
Too many people in hell. Too much money to get there. Fix the country before fixing other places.
I don't think it is expensive to dig a 12 mile hole to get to hell. The soviets did it, and it didn't cost them a lot of money. They did it for sport pretty much, to beat the Americans at something. Digging a hole to hell would be very cheap for the US gov and I imagine multiple holes can be dug to save people faster. I would want to dedicate $78.8 Billion towards this cause if I were POTUS. Also, since the people fleeing hell would be very loyal to America since we saved them, they probably would assimilate quickly, get legalized quickly and would be productive citizens to the nation. This nation is very fixed compared to hell and if we allow people from hell to come to the US, they would help solve some of our economic problems.