The problem is that God is not a scientific variable, much less a huge variable. God can only be a variable if God is sometimes present and sometimes absent. And God can only be studied as a variable if the scientist has some sort of control over when God is present and when God is absent. Failing that, God would have to provide the scientist with some sort of clear indication of when God is influencing the experiment and when he is not.
The scientific indications are that if God is a sometimes visitor to the realm of scientific investigation, he does not choose to let us know when he is there and when he is not. So we are forced to conduct science on the premise that God is always present or never present. Either way, God is not a scientific variable.
God's active intervention is sometimes present and sometimes absent at different levels. We can beg the question of where and how, but God's intervention is not a "steady state."
Does God have to provide anything to the scientist? Well, as James wrote, "You have not because you ask not." With my kids, if, for example, I want their rooms clean, I may get all sorts of reasons why they can't clean there rooms. I insist that before we get to such matters, that we establish that we at least want a clean room, if only to be obedient. Funny how everything changes when you actually want something and ask for it. For some Christian scientists, this is not an issue. But for many, it is pointless to raise the issue of how God communicates and whether He can be involved in science, since so few even desire that He be present and even fewer ask.
So, the question of desire remains for all of us in all of our professional undertakings, regardless of how practical it would appear to us. If we don't desire Him to be in what we are doing, it will indeed appear less and less practical.
Need that be a public issue? Well, that does raise problems of practicality. But, that doesn't change what the truth is and how you pursue it. I am not counseling anyone to endure feelings of embarassment gratuitously. If indeed you desire to make the acknowledgement, I am sure God will make the way for it to be done appropriately, with time.
But, practicality is only part of God's mercy for us. It is not a subject where the truth itself is changed. So, the question of what God is supposed to do for scientists is quite beside the ultimate point of inquiring after the truth.
One public issue is, for example, intelligent design. The manifest goal of most of science is to exclude ID, which to me is just about the lowest common denominator approach to religion in science. They really ask very little. But, most scientists just want them out. They don't want to help them along with "better" science, they don't want to reach an understanding -- they want them out. Apparently this is because particular ID scientists demonstrate bad science in the opinon of many. Never mind that their goals might be agreeable to many, such as those here. They want God unacknowledged.
If there were a desire to incorporate God into science as cipher, or variable, I also think YECs would be given the benefit of the doubt more frequently. Words like "scorn" for the YEC study of "kinds" would disappear.