Sometimes, to relieve yourself of other responsibilities is a good strategy. In order to maximize your attentiveness, you may be well served by diminishing the number of responsibilities you have. Increase energy and productivity. Doing less things will give you more time and emotional energy for the high-priority tasks.
Sit on fewer boards, cancel some personal obligations, cut back on attending so many meetings, and spend less time out for the evening. Do whatever you have to do to devote the time and energy you need to achieve this desired outcome.