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The question is, why would any person(s) of other faiths or belief systems be interested in sharing the christian gospel? They are not of the christian faith, so why should they care about it and for it?

Ok let me change the title.

Ok. So, why should people of other faiths be interested in being preached to about the christian gospels when they've got their own teachings?

The teaching is for Christians only . It is christian duty to share the good news of Gods salvation.

Good news? Like the "good" news of burning in hell if they do not accept the christian "good news"? What is good about being coerced with the threat of eternal damnation in the hands of your deity if your "good news" is rejected? Better not to hear this plague news at all, to begin with.

Joagbaje:

The teaching is for Christians only .  It is christian duty to share the good news of Gods salvation.

^^^^^^
The good news is that you can escape Hell. The good news is that there's option for a heaven.

The plague news is that you christians introduce the concept of hell to those who never had such vile concept before they met you, hence infecting their consciousness with it. That is why your "good news" is nothing but a vile and evil plague that you christians keep spreading across the globe. Everywhere the christian missionaries/evangelists go they take the plague of hell along with them to infect others and they call it good news.

First they introduce the concept of hell, then they tell their unfortunate victims that they have good news about how to escape such a repulsive place they introduced in the first place. What a vile and evil religion. No wonder people with half a brain run away from it.

Joagbaje:

^^^^^^
The good news is that you can escape Hell. The good news is that there's option for  a heaven.

He'll is real and Heaven is real as well
What we preach to be the good news is the love of Christ
We don't haunt people with he'll but rather ensure they are aware and then give them the options and encourage them to make the right decision

Deuteronomy 30:19
19 I call heaven and earth to record this day against you, that I have set before you life and death, blessing and cursing: therefore choose life, that both thou and thy seed may live:

Life is in two sides, good and bad, up and down, light and darkness, death and life,reward and punishment. No man can claim to be on the fence, you are either on the side of the right thing which you know by the inbulit God's police in you or be on the side of the wrong thing, which you are trying to pretend you don't know, but inwardly you know,right and wrong exist. So, choose life in Christ Jesus. Or death on the other side, God has given you power to choose. May the Lord Jesus help you to take the Greatest decision on earth,that is accepting Jesus as your Lord and Saviour. God bless you. God2man.

Thanks for that piece.