Many Right-Wing Christians believe that one must be religious in order to be moral. Here’s a few countries that challenge that belief.
Japan.
Japan is famous for having very little immigration. Japan is also a strict law & order society with no tolerance for crime (the Yakuza are tolerated to keep other criminals down). East Asia in general is like this.
Singapore.
Singapore has a secular government, but is an insanely socially conservative law & order society. East Asia in general is like this (I consider Singapore to be a cultural exclave of East Asia, considering how it’s ethnically 3/4 Chinese).
(Narcotics Officer - Central Narcotics Bureau)
Czech Republic & Estonia.
They’re two of the world's least religious countries, yet have some of the strictest immigration restrictions in the world, have shall-issue licenses to own centerfire, semi-automatic rifles & shotguns,along with shall-issue licenses to own & even conceal carry handguns, being two of the five countries in Europe that have shall-issue licenses to conceal carry firearms (the others being Poland, Latvia, & Lithuania). New Hampshire is one of the two least religious states in the United States of America, but has permissive weapon laws & low taxes.
(URNA: A police tactical unit of the Czech Republic)
(Estonian Special Operations Forces ESTSOF)
Honorable mentions (pun intended with so many Asian countries are listed here, since Asian cultures tend to be honor cultures):
Mongolia is mostly irreligious, but both prostitution & pornography are illegal.
Syria. This one is for right-wingers who dislike Israel. Syria is a secular state, not an Islamic fundamentalist state, but is one of the best countries that stand up to Israel because of Civic Nationalist unity & a respectable public image in contrast to the likes of Iran & the Houthi rebels who also opposite Israel but have a toxic public image with their tribal hatred of the United States of America and western civilization. Syria even has one of the lowest divorce rates in the world, especially before the Syrian War & Wuhan Bat Lab Flu scare.
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All in all, you have good points.
My point is that the values dear to right-wing Americans, especially Christians, ARE Biblical such as the concept of nations and nationalism (God created them and even in eternity, we will have them as per Revelation 21:24-27) as well as the right of self-defense (Exodus 22:2) and weapon ownership (Deuteronomy 23:13).
Whether or not you recognize it, right-wing values are STRONGLY rooted in the Bible. You mentioned a few nations/states that are secular but still have relaxed gun laws (and other right-wing values) such as the Czech Republic, Estonia, and New Hampshire, but even then, whether you realize it or not, right-wing values are still very much rooted in Christianity.
America is much more strongly influenced by Christianity than any other place, and while SOME US states and localities have stricter gun laws than other countries, American gun laws are STILL much more relaxed and free than even Czech or Estonian gun laws.
I respect the Czech Republic as one of the most decent European nations, however.
With the exception of a handful of states, most American states allow you to purchase semi-automatic centerfire rifles and magazines of any size without a permit, and while New Hampshire (one of the least religious states) also allows that, keep in mind that being a part of the US, it still is strongly influenced by Christianity and I can tell you that there is a pretty strong Christian community there as well, having lived on the border of that state.
On an aggregate scale, America is STILL more right-wing than most of the world. In a few select areas, such as immigration, other countries may be more "right-wing", but America is decidedly more right-wing than the rest of the world.
I would say that you have good points, although some of the countries listed here would not exactly qualify as "right-wing" by American standards.
For example, both Japan and Singapore have extremely strict gun laws; private gun ownership is effectively banned in both nations. Japan does allow the ownership of shotguns and hunting rifles, as well as air rifles, but with strict licensing and few people are actually allowed to own firearms. There is no possibility of legally owning handguns, semi-automatic centerfire rifles, or full auto in neither country.
Singapore has conscription, which might make it right-wing.
I would also say that American influence is key; American influence in those countries does contribute to their political systems and cultures.
Japan is certainly a homogenous society; there is no concept of diversity there and the nail that sticks out tends to be hammered down. There is a strong emphasis on conformity and immigration levels are very low; we rarely hear of anyone going to Japan to become a citizen and permanently live there just because the Japanese language is also extremely difficult to learn for those who speak Latin/Roman alphabet-based languages such as English, French, Spanish, Italian, and so forth.
I would say that the language definitely serves to keep Japan quite homogenous; the only nation known to speak Japanese on an official level is Japan and virtually all those who speak Japanese as a first-language are the Japanese themselves.
Their harsh laws on crime are rooted in East Asian values; the same goes for Singapore.
I would not dare say that tough-on-crime laws are necessarily right-wing in nature; Communist China also has extremely harsh laws on criminal behavior (except for Communist government tyranny) and they deal with drug offenses extremely harshly. The death penalty is widely imposed and not limited to murderers or crimes causing the victim's death but also drug dealers.
You raise a few other good points; the Czech Republic and Estonia have strict immigration laws and relaxed gun laws despite being mostly secular, and the same goes for New Hampshire.
I would say, however, that despite the fact that New Hampshire is quite secular, you cannot underestimate the influence that Christianity holds on American society in general. I myself lived in Vermont for a year, right on the border with New Hampshire, and regularly went to NH to do some shopping. I taught at a private Christian school while living in Vermont, and a good number of our students are/were New Hampshire residents in the Upper Valley.
Do not underestimate the influence of Christianity. Christianity still contributes to American culture greatly, and while you listed areas where other countries may be right-wing and libertarian, on an OVERALL SCALE, America is decidedly freer.