Inappropriate because he sent them an invitation to church? What if he sent them an invitation to a super bowl party, would it have been inappropriate then?
Yes and yes, also. Would you not think it inappropriate for him to be asking females he stopped for "dates"?
What if he were a Muslim, and suggested that they attend his mosque with him? [Grrrrr ....]
The issue here is his inappropriate mixing of public duties with his own private agenda. The stupidity is evidenced by his not realizing that.