The goal was always to replicate the golf played in the UK, the problem was that in most cases the land wasn't naturally suited for it.
They did the best they could with what was available, including the amount of money clubs were willing to spend on construction. Many of the best courses from the early days (Myopia, Garden City, Pinehurst, Shinnecock, Onwentisa, Oakmont, etc.) didn't start out as masterpieces, but evolved after years of constant tinkering, lengthening and working with the turf.
In response to Josh's point above about location, in most cases the architect did not chose the land. Early courses were built in accessible areas, whether close to where the members were going to live, or where they vacationed, often on land already owned by a member or that could be leased cheaply as it wasn't needed for other purposes.
I give those early guys a ton of credit. They were building courses on all types of land, with rudimentary tools and without the natural benefits provided by links. Its easy to make a cake when you have flour, sugar and eggs. Its a lot harder when any of those ingredients are missing.
When the Golden Age came about, courses were being built just about everywhere you could get to with an automobile. And the architects of those courses were most definitely trying to build "ideal" golf courses. To do so they were filling in swamps, carving courses out of forests, blowing up and dragging away glacial debris and working with non-native grasses to produce courses that played like the ones they studied as their inspirations.
It seems like the easiest comparison is to take course X in the US and try to measure it up against any of the seaside links in the UK. The better comparison would be to try to compare the American courses with the great inland courses of the UK, those that were built starting in the 1890's and later.
Sven