Our God is not merely powerful, not even the most powerful being in all the universe. He is that, of course, but he is much more. He can tell the future and then take measures to bring to pass everything he has foretold.
The question of who may partake in the Lord’s supper is just as important as who ought to be baptized and how it should be done.
Since it is the Lord’s table, we do not have a say in who may partake. Jesus left instructions in the New Testament; it is these we must follow and not our own opinions, no matter how wise or reasonable they may seem.
It seems reasonable to infer that there may be consistent intercommunion between those churches whose doctrine and order so agree that membership in the one church may justly entitle an individual to membership in the others; but between such churches only.
While Baptists believe that theirs is the type of church which most closely and consistently follows the Scripture’s teaching, we do not kick all non-Baptists out of the family of God.