I know he had plenty of issues with the government, but did the people ever have reservations about a potential Austrian leader?
While I certainly don't want to diminish any new answers, this topic has been discussed here by the lovely /u/kieslowskifan. A relevant quote:
Hitler's Austrian background was not that much of a problem for him as there was a sizable number of Germans in the 1920s and 30s that considered German-speaking Austrians to be ethnically German.