I think the invisible presence came from the second Adventists.
Adventists beleive that Christ has been present in the form of the Holy Spirit since the cross. Adventrists also beleive that Jesus will come in the clouds visible to everyone in the future.
Adventists also beleive in 1844 it was the beginning of the investigative judgement before the second comming to see who is worthy to be ressurected and taken to heaven. Other churches dont beleive the investigative judgement doctrine and this doctrine and within the SDAs the doctrine is often in dispute. Many of the hardliners beleive it but the theologins and more informed members dont. Im one who dosent beleive the investigateve doctrine. Barry