Adding to this I think it's because rightwing movements tend to be inherently more philosophical than left-wing movements, not o say the honest god-fearing left aren't intelligent but their major concerns tend to be grounded in very practical issues, living wages, workplace safety, environmental preservation, the humane treatment of animals, wellfare and safety nets, etc.
All of which, when properly and honestly considered are important issues for a nation to address in some fashion.
On the right however we're more abstract, we often get triggered when people call the hallmarks of western civilization social constructs (or we used to I don't think I've seen the term social construct in two years, it must have fallen out of fashion) but to be fair allot of things are social constructs, they are systems and paradigms we've constructed over generations in order to conform to certain philisophical and religious ideas.
The due process of law, innocent until proven guilty and being tried by a jury of your peers are all absolute nightmares if you actually want an effective legal system that can execute sentences quickly and decisively, feminists have, if nothing else, one thing right, rape is almost impossible to try someone for just by the nature of the crime itself and if you go out and rape a woman in an alleyway you have good odds of never being caught so long as you aren't leaving your semen samples in sealed cups around town.
We as a society traditionally eat that cost though because the preservation of justice and the prevention of wrongful imprisonment in principal are more important to us than the reality that rapists get away with what they do.
The misapplication of law is a worse outcome than the non-application of law, this is not a pragmatic position and speaks to a higher transcendent belief about the nature and purpose of law.
Another example would be freemarket economics vs socialist economics, the freemarket is inherently broken, it will by it's very nature create bubbles and allows crooked men to get away with corruption, it also in no way protects the livelihoods of good and honest men and often sees them unemployed, often by the simple accident of public taste in a different product than the one he produces, but to most on the right it is better to have a broken, impractical, unfair system that honors the right of property and enterprise with that property over a system which curbs and controls how people are allowed to manipulate their own wealth to their advantage, hitler, despite being a very strong nationalist could never shake a socialist tendency (and neither could the fascists) because it is from a mechanistic, materialistic standpoint simply more practical than a blind and groping free market.
The right tends towards having a very lofty view of ideals and principles and is often willing to sacrifice practical necessity or sense for the sake of these principles, truth, justice, freedom and the like and in order to prevent excess couple them with virtues such as self-cacrifice, humility and temperance.
The ideological left, unlike the practical left, falls into abject degeneracy because they do not couple their principles-so-called with virtue, the ideological right (vs the practical right which is what we see in libertarianism which also tends to fall into a different but still dangerous kind of degeneracy) does not seperate principle from virtue but rather sees principle as what naturally outflows from the application of virtue and we structure our governments and politics out of the application of principles so that going all the way down our foundation is set in a transcendent, metaphysical good rather than on base materialistic whims.
Some of the biggest enemies to the right will always be those who associate with the right but who deny metaphysical virtues, those people who want to kill and maim for no other reason than the bloodlust in their hearts, they watch videos of SS parades and don't value them for the image of self-sacrifice, national and cultural strength or the refusal of a people to lay down and die when the world tells them to, they instead watch those videos and fantasize about wearing a costume and stepping on the backs of their perceived inferiors, they advocate mass exterminations for exterminations sake, they are offended by the weak rather than being filled with a longing to defend the weak, they believe in the due process of the sword and nothing else.
tl:dr, the fundamental difference between the modern right and left, in my mind, is that the right rests itself on abstract virtue where as the left rests itself on empty materialistic pragmatism.