Praise be to Allah.
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.