In the 20's, religious fundamentalists declared war on evolution, and have battled that tooth and nail ever since then. And with some success. Early on, with radio, religious believers utilized mass media effectively in the US. Later with TV, and with cable TV, they kept up that strategy and anti-evolution was a big component of their media message. Organized creationism has long been part of the general mix. In 1972, Dr. Henry Morris re-energized creationism and it has become a powerful organized movement that has managed to also become politically saavy and arose with movements like Moral Majority to become politically powerful in the US. In no other Western modern nation has anti-evolution been so well entrenched and spread with such widespread zeal. In much of Europe, post WW2, rebuilding their nations has been important and absorbed their attention while the US went on a religious kick instead. Fed by the cold war. We had that luxury.
This nicely touches upon the religion-evolution clash in the US that began around the 1920's.
There broader backdrop that gave rise to this continuing clash has to do with the fact that from the beginning most colonists and immigrants to the US were uniquely non-denominational Protestant, combined with fears of rapid economic and cultural changes among rural Americans at the start of the 20th century.
Since its founding, the US had been moving toward greater and greater religiosity, in the opposite direction of Western Europe.
It starts with the anti-intellectual nature of the Protestant revolution itself. The Church had tethered religious power to knowing Latin, higher-learning, and theological scholarship, because they controlled who had this knowledge and credentials. While the Church's intellectualism was mostly pseudo-intellectualism, that association meant that Martin Luther's revolution against the power of Church authority entailed a rebellion against intellectualism and the notion that reason and scholarship were how one understands God. Protestantism is largely defined by this and by pushing the notion that it is an emotional direct connection with God that is the path to know God and that science and reason are largely the enemy.
A famous quote by Martin Luther is: “Reason is a whore, the greatest enemy that faith has; it never comes to the aid of spiritual things, but more frequently than not struggles against the divine Word, treating with contempt all that emanates from God.”
This had more impact on the US because most colonists and early immigrants to the US were unaffiliated Protestants with very strong anti-Catholic hatred, due in part to being persecuted by the Church, which is why some left Europe in the first place. Also, most immigrants severed ties with any Protestant religious authority in Europe, such as the Church of England. This meant their was a power-vacuum of no central religious authority in the US. Being recent immigrants often in just forming communities, few Christians were members of any specific church in the 18th century. The Great Awakenings of the 18th and 19th centuries were in large part about self-appointed religious leaders trying to grow their brand of Protestantism and compete for all those unaffiliated Christians. They did this by trying to one-up each other in being the "real" soul of Protestantism. That meant being the most anti-Catholic, anti-intellectual, anti-science, and pro-emotionalism they could be. They also tethered affiliation to their new sects as a form of nationalistic pride since many of them were unique to America.
With this as the backdrop, along came the Industrial Revolution that spurred rapid modernization and change in every aspect of US culture. People fled rural America for the cities, rural farms suffered, WW I brought many Eastern European immigrants, and the radio gave rise to decadent and irreverent pop-culture. At this same time (around 1900) schooling became compulsory up to age 14, which meant a massive reduction in how rural farmers could use their kids as free labor. Evolution was began being taught to primary school students at this time too.
A fear-based backlash formed a dangerous ideological association in the minds of religious rural Americans between the evils of modernization, education, science, evolution, new immigrants from "swarthy" nations, and the economic hardships they faced. The KKK was born and pushed this ideology tethering all these things.
The Scopes Trial of 1925 was a manifestation of all that and you can see it in the comments of Bryant and others involved in the trial for whom Evolution was really just a symptom of what they feared.
In short, for various historical reasons, the US is more religious than most of Europe, and while all religion is largely anti-intellectual, the prevailing strains of religion in the US are acutely so.