With respect, this is backwards. This is recipe for burned out and isolated employees that have no buy in or ownership of organizational goals.
>What I want you to do is concentrate on the tasks in front of you and do those well. You shouldn't be caring about the total amount of tasks to do, or if we are going to finish the project on time. That is my problem, not yours.
Most likely you're not a perfect oracle and therefore will not be able to do what you describe here. So you're already set up for failure by attempting to shield the team from "politics" or however you would describe them.
>People with a lot of work assigned to them will report how stressed they are and how they are working too hard.
No they won't. At the point someone is telling you this, they are burned out. In which case you already failed and now you're behind the curve with a burned out and alienated team member.
I suggest you take a step back and evaluate how you view yourself in relation to your other teammates. If you believe you are smarter or better than them then you need to re-evaluate whether you should be in management.
Your job as a manager is to care for your employees without being parochial, giving them as much information as appropriate (which is USUALLY all of the information) while ensuring that they have the tools and environment that fit their individual working style, and mediating between team members to align incentives across the organization.