In our version of the ACW2 setting, Lindbergh is pretty much the head of the American Nationalist government. I just can't see him going anyplace else politically.
I had a prof in undergrad who speculated that the loss of Lindbergh's child dramatically altered Lindbergh's mental state of mind, and, ultimately, his political viewpoint, as he claimed that Lindbergh had few "overt" political views, one way or another, until around the time of the loss of Charles, jr. No proof of this myself, but it was an interesting idea. I sort of play off it in the ACW2 book with the infamous "Many Headed Hydra" speech.
Fascism was relatively popular in America, even in the Jewish community. Nazism, for obvious reasons, was not. So, a lot of the "Nationalists" and "Nativists" (except, perhaps, for radicals like the Silver Legion) looked askance at Lindbergh. Remember - the Fascists under Mussolini initially hated the Nazis, thought of them as godless thugs.
We do plan to do a Lindbergh for our ACW2 line, likely in some form of military dress.
To his credit (and I loathe the man's simpering admiration for Hitler, so this is a big stretch for me), he did in fact fly combat missions in the Pacific, partly as a means of trying to restore his reputation after being so blatantly pro-Nazi for so long.
-Doc