Is it useful for civil servants to find the executive vice minister of the organization department?

Useful, but it's best to find a unit willing to accept you. As long as the receiving unit wants you, the organization department will not object. Note that it will not be 100% opposed. And if you are looking for someone from the organization department, the organization department will also help you coordinate the receiving unit, which will take a long time. So you'd better find a unit that is willing to take over you. The unit that takes over will inspect you first, and then report the materials to the organization department after the meeting of the Standing Committee or the Party Group, which has the highest success rate.