Muslims have to have graveyards of their own, in which no one else should be buried. The person who does not pray and who dies when he is a person who has neglected prayer should not be buried in the Muslim graveyard, because the one who does not pray and denies that it is an obligation is a kaafir according to scholarly consensus. If he does not pray out of laziness, then he is a kaafir according to the more correct scholarly view. It is prescribed in Islam for a Muslim to leave instructions that he should be buried in the Muslim graveyard if there is also a non-Muslim graveyard in the vicinity, lest he be buried with the non-Muslims.
And Allaah is the Source of strength. May Allaah bless our Prophet Muhammad and his family and companions, and grant them peace.