Umm...
How do those tenets even work? They are contradictory. Humans are unable to make any efforts towards salvation, but then they have to learn about Christ and muster up faith in him to qualify? Yet, this act of learning (knowledge) and faith does not qualify as any sort of effort or action to acquire salvation?
I don't understand... I see the mule talking out of both ends
When it comes right down to it, I would say that NO theological "system" is able to be both internally consistent AND consistent with the most natural reading of Scripture. The very nature of God and His work involves some degree of "mystery" that transcends human intellect and language, in addition to the fact that Scripture was never written as a "system." I would even allow that some teachings of Scripture are so tightly in tension that they could reasonable be termed "contradictions"; I would maintain they are true nonetheless.
In regard to the particular points of your quandary --
-- Probably the first important thing to note is the sixth point among the Arminian "tenets." It points out that Arminians believe grace may be *resisted.* The traditional Arminian view is that indeed salvation cannot be "acquired," but its free offer may be rejected. The point is that "faith" is for lack of a better word, "passive," in that it does not "take" but only does "not reject."
-- Because of their theological framework, Calvinists believe "saving faith" comes from God, lest man have grounds for boasting. Arminians believe that the Scriptures usually adduced as proof-texts do not support this.
---- In 1 Cor. 12-13, "faith" is of the Spirit, but the context is that of a special enablement for those already saved. Whether or not this particular "version" of faith is applicable to the salvation experience can't be determined from the context.
---- In Gal. 5, "faith" is a (or an aspect of the) fruit of the Spirit, but the context is that it is a "character trait" of those *already* saved. Again the context doesn't address whether this is related to "saving" faith. Besides that, and for related reasons, there is disagreement as to whether in this context
pistis should even be translated as "faith," as opposed to "faithfulness" or "fidelity."
---- In Eph. 2:8,
touto probably refers to "by grace you are saved," and not to "faith."
---- Calvinists like to maintain that "Regeneration Precedes Faith," but this is inconsistent with the plain teaching of John 1, where "receiving" and "believing" precede "becoming children" and "being born."
-- In Paul, the contrast is between "faith" and "works." Works are things we "do"; they are explicitly deeds, actions, results of some sort of effort or expenditure of energy. From our POV, "faith" is not in that category. We expend no effort to "believe," so we don't "do" anything to be saved, nor to stay saved. (OTOH, one could successfully expend effort to resist salvation, or even to abdicate it once saved.)
-- Interestingly, Jesus as quoted by John uses words differently. For Him (or "them," assuming the language also reflects John's theology), in 6:29, eternal life is indeed conditioned on "faith" or "belief," but there faith IS a "work."