Mr Skinner, a member of an organisation calling itself the Catholic Action Group, described the Renaissance-style picture as "satanic" and said he would not hesitate to take the same action.
"The Virgin Mary is sacred, you do not blaspheme her image. Yes, absolutely, I would destroy it again
"Even if it meant going to jail,"
Mr Skinner described himself and the Catholic Action Group as traditional Catholics.
"We wish all our enemies a very merry Christmas. We thank our supporters and wish them a happy and holy Christmas."
In a statement St Matthew-in-the-City spokesman Reverend Clay Nelson said the Catholic Action Group had vandalised the billboard to gain publicity for Mr Skinner's point of view and to further his supposedly Catholic organisation's agenda.
"Our agenda is to get people to think about Christmas a little more deeply. Some people chose to be offended, but that's not our intent. But there are those who can get past that and reflect on Christmas," Mr Nelson said.