If we let the remaining body of a person be it as it is, and change the religious path; we observe that the element of body do not change because we can not change the omniscient, omnipresent and omnipotent free God that is the basic element of that body. Because the truth do not change with change in religious path.
The SOUL is directly connected to the GOD which do not have any joint, welded or patched. It is continuous ,inseparable and can never be detached from one another. Hence bodies may differ in their respective religious path but the GOD is ONE and God is love.
Change is not the solution for all problems but only changing our angle of view of living can give us relief because many a times the things what we are actually doing are the correct practices but only some different way of understanding and recognizing our acts, which we are referring to as sins or mistakes; is the necessity of that time.
Change in the religion do not make any sense for salving any type of problem in individual as well as social life but understanding, practicing and respecting other faiths is necessary for maintaining peace and harmony between different religious paths and practices.