Ping to 503.
You seem to be confused. Yes, the Church is commonly called the Bride of Christ. The Song of Solomon has frequently been read typologically, as referring to both the marriage between Christ and the individual soul, and the marriage between Christ and His Church, spoken of by St. Paul.
I don’t recall St. Paul calling the Church the Bride of the Holy Ghost. But Mary can, in a sense, be called the Bride of the Holy Ghost since the Holy Ghost came to her and that was how she conceived Jesus, according to the Gospel accounts.
Similarly, Mary suffered when Jesus was on the Cross. Not by being on the cross herself, but because His suffering was like a sword piercing her heart, as Simeon prophesied when Jesus was presented at the Temple as a baby. Milton, a good Protestant, mentions this in Paradise Lost.
As for that cross, with Mary on the other side, it is not Catholic in spirit. There may have been such a thing shown in a church somewhere, but there’s nothing Catholic about it. Nor have you provided any evidence that it is normally to be found in the Church of Santa Maria Maggiore.
I’m not sure why you are wasting everyone’s time with these silly accusations.