What part of the bible is all this in btw?
Regarding the breath of life, it's referred to quite a few times...
“And the LORD God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul.” ~Genesis 2:7
"All the while my breath is in me, and the spirit of God is in my nostrils; 4 My lips shall not speak wickedness, nor my tongue utter deceit." ~ Job 27:3-4
"If he set his heart upon man, If he gather unto himself his spirit and his breath; All flesh shall perish together, And man shall turn again unto dust.." ~Job 34:14-15
I could go on with more scriptures... and the Catholic church and various denominations disagree with me, but the facts remain. According to the Bible, the soul enters the body through breath, and leaves the body with the final breath. This is undisputed throughout the Bible.
Regarding cutting your balls off, these are the words of Christ Himself...
"For there are some eunuchs, which were so born from their mother's womb: and there are some eunuchs, which were made eunuchs of men: and there be eunuchs, which have made themselves eunuchs for the kingdom of heaven's sake. He that is able to receive it, let him receive it." ~Matthew 19:12
The pertinent part is "which have made themselves eunuchs for the kingdom of heaven's sake"; this indicates that the eunuchs that have made themselves so did so to get into Heaven. You can of course get into Heaven with your parts intact, but the Bible stresses that thoughts are the same as deeds (for example, Jesus says (paraphrasing) if you lust after a woman, it's the same as having fucked her), so of course if you don't have your balls and sex drive, you won't have to worry about such struggles and can focus on God 100%. The Council of Nicea, being full of men with nuts, of course wanted to stress that you don't HAVE to do so, and Jesus meant this metaphorically only. This is the root of Catholic priests being unable to marry. However, for many centuries there were those who took this passage literally, though this wasn't a majority consensus, and there were many eunuchs resulting.
Certainly, GOD is in no way against mutilating genitals, as at its core the Bible CONDONES genital mutilation repeatedly (circumcision).