The short answer is yes.
To explain…John 3:16-17 is clear. “16 For God so loved the world that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life. 17 For God did not send his Son into the world to condemn the world, but to save the world through him.”
There are no other strings and conditions attached. There is no “but” in the statement. If you are Christian, then the statement makes no other pre-condition or qualification. It doesn’t say that a particular sect of Christianity is saved. It doesn’t say that you have to not sin and believe. It doesn’t say that it only applies to straight Christians. The operative word is “whoever.” Period.
Interestingly enough, the second verse negates the condemnation that “Christians” would apply to others of our faith. If God does not want to condemn the world but, to save it, who are we to do any different?
I’ve been asked, during the course of this “quest”, “Do you believe ALL the Bible?” I do, I’ve been looking for a good response. I don’t know why I overlooked this. I didn’t need any reassurance that Z is Christian. Now I have an answer for the nay-sayers.