that war that must be abolished?

1) Should the second "that" in the title be deleted?
2) Does "not killing kids would be a leading candidate" refer to "killing kids would not be a leading candidate of moral absolutes"?

Context:

Where Is the Outcry Over Children Killed by U.S.-Led Forces?
By John Horgan | September 10, 2015 | 5

For years, I’ve tried to get more people—and especially Americans, citizens of the most militaristic nation on Earth--to agree with me that war that must be abolished. One simple--some would say simplistic--argument I’ve tried is this: war is wrong because killing children is wrong, and children are inevitably killed in wars. If I believed in moral absolutes, not killing kids would be a leading candidate.

More:
http://blogs.scientificamerican.com/cross-check/where-is-outcry-over-children-killed-by-u-s-led-forces/