Out of curiosity, why do you want to do this? Why can't you use a same wallet?
Using multiple implementations to secure funds would reduce the required trust the user would place in one set of developers. Malice and incompetence on the part of the developers are both risks in wallet implementations, as would be some kind of MITM attack where an adulterated version is downloaded.
It currently takes a very careful user to properly handle bitcoin security, so I don't recommend to friends and family that they store any significant value on their own. If I could tell them to download Electrum on their laptop, Armory on the old computer in the closet, and put Breadwallet on their iPhone, and chose a 2-of-3 or 3-or-3 setup, IMO that would be very hard to compromise.