I am not a part of Assemblies of God, but I go to a non denominational church in Chicago and I think you are right that most American churches are more relaxed when it comes to that stuff. I have seen many people do the cross after we pray in church. Of course, the majority do not. My friend does it and no one has said anything about it. It isn’t frowned upon and I have never heard anyone complain about it. My pastor once said no one is to be judged if they cross themselves, decide to wear a veil, etc. They are still there to worship God.
Someone mentioned that wearing a cross was frowned upon in their church. I never heard that but that is crazy! I don’t see why any Christian would be upset that another is wearing a cross. I wear a cross every day and there are a ton of people who go to my church that wear crosses. I don’t really see crucifixes, but if someone were to wear it I would definitely not judge them.
We have a cross one one side of our church building and one on top. We also have a big cross near the entrance of the church and one actually inside right in front of the baptismal.
We definitely acknowledge Christmas. I thought not acknowledging Christmas was a Jehovah Witness thing?
We do the Our Father prayer. Not every week but we definitely do do it. At my church it is taught to all the Sunday school kids starting with the 3 and 4 year olds.