The problem isn’t getting rabbi Shechter or rabbi willig to meet with the Torah world’s poskim; they have. My rebbe rav belsky worked with rabbi Shechter all the time. Because they’re coming from the same religion, and are both committed to normative halacha (except rabbi Shechters land for peace teshuva where he uses European nationalism to justify the loss of Jewish life)
The issue is the MO world to the left of those two rabbis. They are barreling down the roads of heresy and violation of halacha, and they have little in common with rabbonim from the torah world.