Huh?
The problem in Europe is not immigration, the problem is there being no European country with a vision of the future for immigrants to buy into.
Aesthetic Traditions ≠ Culture. Traditions are just one aspect, but as Nietzsche wrote about the death of God, traditions are not a substitute for values.
America for hundreds of years has offered a shared vision of the future and values to immigrants of every background, and within <1 generation most immigrants become fully integrated.
When European identities are all built around stories from the past, and the only vision of the future being offered is one of impending doom and urbanist intellectual memes (climate apocalypse, population decline, social welfare breakdown, economic malaise, technophobia), it's no wonder that immigrants wouldn't want to buy into your culture. I'll enjoy your aesthetic traditions and take your free social welfare, but I'll keep my own culture and values, thank you very much.
When your sales pitch is: "we don't like new things here so there's nothing to create, but life here is easy, you don't have to do much because the state will take care of you!" I don't think you're attracting the best citizens.