Yup, just give the same act a religious label and it's biblically sanctioned; but commit the exactly same act under a different pretense or a different umbrella, and, yup, that's out of bounds.
So are you saying that if I to tell Ted Kennedy that his marital infidelity is contrary to the will of God it's lobbying?
If you haven't realized it by now, there are victims covered under Jesus' "least of these" focus of Matt 25 that are entirely politicized in today's environment. You can't even talk about abortion w/out it coming under the political umbrella.
Therefore, somebody could always maintain that loving our pre-born neighbors as ourselves in the public square is a political activity and also a lobbying activity; hence, these folks conclude, we're not called to do that as our primary focus.