I think the day after 9/11 pretty much the entire congress sang "God Bless America" on the capital steps. Reps and Dems, Cons and Libs.
I remember this because I remembering thinking to myself, that's it, that's all our elected leaders have is to stand on the steps and sing a song. That's the standard we've lowered ourselves to expect?
Now, I'm not sure how saying God Bless America makes one more or less in love with this country, but if that's your litmus test, go with it.
I do know my in-laws, who imigrated from Europe do say what a great country alot, but I'm not sure they've ever said God Bless America.
I think we play into both parties hands when we do the label thing. That's what they want so they can continue to keep just enough of both parties in power to not allow a third party in.