The efficacy of worship goes far beyond the intentions of the worshippers. It is fitting and proper that all worshippers of the triune God fix this in their minds. We are worshipping God in the name of Jesus Christ, our Lord. We are doing so in faith, and are offering up a right worship of God, a worship that is received by Him as justified and perfect.
This means many things, but among them it means that the simple fact of this worship being rendered presents a threat to all our local principalities and powers who still want to cling to their unbelief. But the church is not a human agency, and cannot be reduced to one. Every time we worship God, we glorify His name in the heavens, where we are assembled, and He in consequence glorifies His name on earth, where we live. This means that every time we assemble we are taking another swing with the battering ram, hammering at the gates of unbelief. Faith that is aware of this process is able to swing with enthusiasm. Anyone who does not see this happening in the world around us is simply not paying attention. The wood is already splintering.
This worship has a reformational impact within the covenant people of God as well. There are believers who are unsettled by all this, and want to leave well enough alone. They instinctively understand the potency of this undertaking and pull back for a variety of stated reasons, but the central reason is to get us to stop our siege. There are unfortunately Christians who desperately to believe that worship can be made into an impotent thing, some sort of playing at church.
But whether we have faith or not, worship remains what it is. God cannot deny Himself. But if we have faith, worship is the means of accomplishing mighty, visible things—on earth, as well as in heaven.