Good article, but here I am afraid I have to answer: no.

Because honestly, "their truths" either are just plain truths, not theirs; or they are simply theirs, but perspectives, not truths.

We can give room for everyone to share their perspectives. If we elevate perspective and opinion to the level of truth, then no, we can't--because we can't survive the profusion of logical contradictions without abandoning logic entirely, and our world is far too complex now to navigate productively without a heck of a lot of rational thought.