I think Hitler's work on all of the above subjects is exactly as well documented as it is relevant to a discussion about how some people will think about something just long enough and deep enough to become offended by it.
I think your interpretation is not "thinking it all the way through", but over thinking it and stretching to make quoting Hitler to promote a church ok.
To me, intentional or not, when you have a billboard that says:
"He alone who owns the youth gains the future" - Adolf Hitler
"Train up a child in the way he should go,
Even when he is old he will not depart from it. - Proverbs 22:6"
It is implying that both quotes are wise words that demonstrate the importance of influencing children at an impressionable age.