Should he meet the needs of his kaafir neighbour?

That depends on what is customary; if it is customary for neighbours to meet one another’s needs, such as if one neighbour is going to the marketplace and his neighbours say to him: “Bring me such and such” – fruit or food and the like, then there is nothing wrong with doing that for his kaafir neighbour, because that is part of honouring one’s neighbour, and the Prophet (peace and blessings of Allaah be upon him) said: “Whoever believes in Allaah and the Last Day, let him honour his neighbour.” 

But if that is not customary, then he should see what is best. End quote. 

Shaykh Ibn ‘Uthmaymeen (may Allaah have mercy on him).