back pressure does absolutely nothing for a 4 stroke engine. don't spread poor info, please do some research before you post.
Yes they do need back pressure. Take your manifolds off and run your engine for a while and see what happens. Most 4 cycle engines benefit from some back pressure, it's been dyno proven. You need to do more research before you jump all over somebody for "spreading poor info".
To the OP. Since your truck came with two cats, "legally" that's what it suppose to have on it, no matter what. If you have lax smog laws (or none like in some places) yes your truck will be fine with only one cat on it.