It sounds to me like you pretty well have it nailed. You have the inner witness of the Holy Spirit, you desire to tell others about Christ (which is one of Christ's commandments that you desire to keep), I imagine if a brother in Christ desperately needed something you would sincerely want to get it for him.
These are the proofs is I John and elsewhere that confirm our genuine conversion.
NOBODY had these but the truly regenerate. You did not have them before you were saved. You have them now and thereby you know that you are saved.
Mormons and JW's don't have this. They love self righteousness and a sense of community which is no different than those humanists who built the Tower of Babel.
You answered your own question well in my opinion. You are saved because you trusted in Christ. You KNOW you are saved because you have the inner witness of the Spirit and the new nature.
I absolutely disagree with you. The Mormons go through my neighborhood all the time, I spoke to a couple of them maybe two months ago.
In fact, false teachers are some of the most aggressive people you can find. As Jesus said, they will cross sea and land to make a proselyte.
Matt 23:15 Woe unto you, scribes and Pharisees, hypocrites! for ye compass sea and land to make one proselyte, and when he is made, ye make him twofold more the child of hell than yourselves.
Years ago I had several Mormons who came to my house probably two to three times a week for months to try to convince me to join their church. Of course, I preached the Bible to them and ran them off.
So, if you say only true Christians have these qualities, you are sadly mistaken.