"Most Moslems are of the impression that most of the people who claim to be Moslems are either hypocrites or apostates."
Could you give a source on that so we can see what it means?
Both hypocrites and apostates may be killed for the greater glory of Islam
The biggest example of this occurs in the Sunni vs. Shi'ite conflict. Within the Sunni there are many other such conflicts. Shia also has some serious internal divisions. I don't believe the Seveners (for example) believe the Twelvers to even be misguided Shia ~ just misguided!
If you could run a survey on this you would probably find Arab speaking Moslems of all kinds have some serious doubts about African and SE Asian Moslems, and at the moment, those folks are the majority of Moslems.