Answer:
This depends entirely whether you are referring to eliminating the existence of a religion entirely or just from you local area. The latter would be much more a possibility in certain situations than the former, depending on which religion and why you believed they ought to be removed.
It is obviously impossible to remove a 'religion' and religious ideas from people unless you are able to persuade everyone from that religion they are wrong. In some cases you would need a great deal of contrary evidence to do so.
Most religions will respect people's rights to believe whatever they want, and will leave you alone if respectfully requested, although most, if not all, would also wish you to join them.