What statutes can you cite that define this situation as trespassing? If a teen aged member of a protestant church went to the young adults Sunday School class and refused to leave, are the police required to respond?
Your example of gays dressed is drag disrupting a service is far beyond someone worshiping in an area designated for others. These women were probably regulars in that mosque. And the same concept you cite was once cited by business owners to refuse service on the basis of race rather than sex.
Are there actual statutes that specify situations like this in a place of worship as trespassing, or just your opinion that trespassing laws would apply?
In FL (my state), it's 810.08.
Whoever, without being authorized, licensed, or invited, willfully enters or remains in any structure or conveyance, or, having been authorized, licensed, or invited, is warned by the owner or lessee of the premises, or by a person authorized by the owner or lessee, to depart and refuses to do so, commits the offense of trespass in a structure or conveyance.
When you are on private property, you are there by invitation. That invitation may be withdrawn at any time. If you are on private property without leave of the owner, you are - by definition - trespassing.
"If a teen aged member of a protestant church went to the young adults Sunday School class and refused to leave, are the police required to respond?"
Yes. One of the roles of law enforcement is to protect the rights of the public. One of those rights, of course, is the right of private property owners. And, as I have pointed out, those "young adults" would be (at least in FL) in violation of FL statute.
"Are there actual statutes that specify situations like this in a place of worship as trespassing, or just your opinion that trespassing laws would apply?"
Are you being argumentative, or sarcastic?