1st question:Yes of coarse we are not who will decide who is the proper muslim or not. But let me tell you one thing.I don't know about others but about myself. When I see someone doing wrong and is against Islam, the discussion of "proper muslim or not" automatically starts,the first thing I will say "What type of Muslime he/she is?" I think that's why because we feel bad if someone is doing something against Islam. We don't have right to talk about someone else but we have the right to ask ourselves.Are we proper Muslims?I know I am not perfect but that was what I think.

To your 2nd question I will say,May be Pakistanis are very sensitive about Islam. Can I ask which countries are you talking about"No where in the world".

To your 3rd question I would like to say yes we should leave the rest on Allah Almighty and move towards success by following the path told by Allah Almighty,Hazrat Mohammad(PBUH) and Quran.

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Marwatone.