I agree with much of this and thanks for drawing my attention to the ASA, which I had not been aware of previously.
However, in fairness to the ASA, it looks as if it was founded to teach American evangelicals to drop the pseudoscience of "flood geology" etc and understand that evolution and the scientifically estimated age of the earth need to be accepted and
need not conflict with religious faith. For instance there was a guy called Kulp:
J. Laurence Kulp - Wikipedia who was both a fundamentalist Christian (Plymouth Brethren, no less, which is pretty much off the scale at the fundie end of the spectrum)
and a pioneer in radiometric dating! He must have wrestled with some serious cognitive dissonance, until he resolved it. Kulp apparently did much to get the current scientific view of the age of the earth accepted in extreme Protestant circles, i.e. YEC -> OEC, which is a good start.
What the ASA seems to have rightly foreseen is that if extreme Protestantism persisted in rejecting well-established science, it would become an object of contempt and ridicule among educated people and would fall from favour. As it has. It is therefore particularly depressing now to see people like Garte and Tour apparently trying to send the original initiative into reverse by substituting the God of the Gaps for normal scientific enquiry into abiogenesis.
In view of its history, I don't consider that the statement of faith of the ASA is
ipso facto evidence of any bias in its view of science. That statement serves to emphasise that evangelicals can trust its scientific teaching not to be some sort of Trojan Horse for atheism, as some of them might otherwise fear. Its members in the past have evidently managed the separation of religion from their own scientific work, just as you say they should.
What I do not know, and the Wiki article doesn't help, is whether the original purpose of the ASA may have more recently become subverted by people like Garte who want to replace science by the God of the Gaps or other pseudoscience. It would not surprise me in the cultural climate of the modern USA.