What would stop me being stressed out is
1. Not having arseholes treat IT professionals like second class citizens within the company
2. Not having 'urgent' (read not actually urgent) demands thrown at them by said arseholes.
3. Not having an expectation of unpaid on call or out of hours support by default. Just because.
Sort those things and maybe just a few more and then just maybe, IT pros will have time to breathe.