In science, anything you can measure is real.

If this god affects nothing measurable on the universe, it might as well not exist

If "God" is indistinguishable from the natural world, unable to be differentiated from it, to formulate or express thoughts or to influence existence in any way, it is a redundant idea, a zero to the left, and something so alienated from what the vast majority of people consider God is, that the meaning of the concept has already been twisted. It doesn't deserve epistemological effort, because our understanding of the world wouldn't change one bit: rather than it being a wilful intelligence, it would be a carcass over which we happen to live in, which the Universe already is. Even if you were to prove the existence of such a devoid concept, it would be equal to asserting "The Universe exists".

No, sorry. I try to be deferential when talking about this stuff, but this is pretty cut and dry, and I'm afraid you're just wrong here. This is Greek--not theology. πίστις is the word we're talking about. It shares the common root with πείθω--"to persuade" (i.e., that evidence is compelling or trustworthy). πίστις is the same word you would use in describing the veracity of a tribunal's judgment (for example, "I have πίστις that the jurors in NY got the verdict right/wrong"). The Greeks used the word to personify honesty, trust, and persuasiveness prior to the existence of Christianity (although someone who knows Attic or is better versed in Greek mythology feel free to correct me). The word is inherently tied up with persuasion, confidence, and trust since long before the New Testament. The original audience of the New Testament would have understood the meaning of the word without depending on any prior relation to religion.

Is trust always a better translation? Of course not--and that's why, you'll notice, I didn't say that (and if it were, one would hope that many of the very well educated translators of Bibles would have used it). But I think you can agree that the concept is also difficult for English to handle (since trust in a person, trust in a deity, and trust in a statement are similar but not quite the same thing, and the same goes for belief in a proposition, belief in a person, and belief in an ideal or value, to say nothing of analogous concepts like loyalty and integrity).

The point is that πίστις--faith--absolutely does not mean belief without evidence, and Christianity since its inception has never taught that. English also doesn't use the word "faith" to imply the absence of evidence, and we don't need to appeal to another language to understand that. It's why the phrase "blind faith" exists (and the phrase is generally pejorative in religious circles as well as secular ones).

Now, if you think the evidence that convinces Christians to conclude that Jesus' followers saw Him after His death is inadequate, that's perfectly valid and a reasonable criticism of Christianity--and if you want to talk about that, that would be apologetics.

In any event, if you're going to call something bullshit, you better have a lot of faith in the conclusion you're drawing. ;)