I think mystics often partake of the truths and teachings of each others' faiths anyway
Though in part this was historically limited by avaiability of texts and translations.
I really hope that more texts from all traditions become available in "major" lingua francas (such as English, etc).
Perhaps this position will involve more a reframing of certain positions, rather than a denial of whatever is currently believed within a tradition...
Mainly, it requires an emphasis on shared truths and universal humanistic teachings...and above all, on tolerance and respect for differences...yes...I believe you have to respect differences if you're going to come to a common ground...
But you're right...the time has come...