Getting a mentor will help, usually someone outside the company that you trust enough to question them honestly (too many people try to get mentored by people they think of as infallible and then fail to ask questions when their understanding is incomplete).

If you are looking for reading material, consider putting the books "Execution" and "Facing Reality" (by Larry Bossidy with Ram Charan) on your list. I found these to be a good concise description of some of the more 'meta' aspects of senior leadership.