May a Muslim pray inside a Hindu temple with the intention of promoting social peace? May a Hindu pray in a mosque for the same reason?

Fatwa Question or Essay Title: 
Can a Muslim pray inside a Hindu temple with the intention of promoting social peace? Can a Hindu pray in a mosque for the same reason?

A Muslim should pray in a mosque and a Hindu should go to his temple for puja (worship). The beliefs of Muslims differ from those of the Hindus. A Muslim believes in One Allah and worships Him alone, while the Hindus worship many gods. Due to this difference of belief, if a Muslim goes to a temple or vice versa it may disrupt peace. Yes, by living mutually with tolerance and morality peace will prevail and unity and integrity will persist.