- Pluralism
- A belief in the value of hard work
- A strong commitment to individual rights / individualism
- A certain degree of puritanism
- A belief in American Exceptionalism
- A belief that fairness should always be aspired to
- A fairly strong commitment to market capitalism
- A healthy dose of skepticism that government intervention is the solution to many problems
- A commitment that the "American Dream" is something that we should always strive to make real for everyone
If the Average American only holds 6 out of 10 of your imaginary Core American Values, what does it matter if we invite in a hundred million New Americans who also only hold 6 out of the 10, because they were from a different culture? Where is the assimilation problem?
(Also, "free market capitalism" and "skeptical of government intervention"? Really? Are you living in a bubble or just willfully pretending that the last 100 years of American history don't exist?)
Compare this to, say, Norway, which is significantly more culturally homogeneous, so a sudden influx of a great number of immigrants would actually noticeably erode or at least dilute the native Norwegian culture.