The neshama is a high, spiritual creation of Hashem. We say in davening, every morning, Elokai, neshama shenosata bi tehorah hi. Ata verasa – you Hashem created the neshama. Note that it does not say Elokai, ata nosata cheilek atzmecha bi (ch”v).
The posuk in Iyov, poshut pshat (remember, ein hamikra yotzei midei pshuto) is not talking about what is discussed here. See the posuk and mefarshim there. Since the amount of people who learn and know sefer Iyov nowadays is not that great, people can easily be misunderstood about what it actually says there. The answer is to go right to the source. Open up an Iyov and learn it.
Re the posuk in Bereishis, Vayipach be’apav nishmas chayim, and the commentary on it, that is also misunderstood. If someone blows up a balloon, or a bottle of glass, the air in the bottle or balloon is not a part of the blower, rather just air. People misunderstand the mashal and take things too literally sometimes.