The biggest chunk of government use or threat of violence is in property rights enforcement. Anything on top of that is mostly peanuts.
For example, if a local government raises property taxes by 5 percentage points in order to get the funds for better schools, there's likely no additional use of force at all. So it's absolutely possible to raise living standards without use of force for all practical purpose.
A reasonable libertarian who worries about use of force (but I'm aware that such people are so rare they may as well not exist) should be in favour of such a policy, because it increases the ratio of "quality of life per use of force".
It is not the linearity of the USE of force but the threat that matters. I support any number of government actions knowing full well that those actions very well can result in the use of force. I understand and accept those consequences as part of my moral duties rather than try and hide from them.
A diminution of force is not the absence of force and you simply can't have a government act without the consequence of enforcing its actions. This isn't "cooperative" since that requires voluntary consent of all parties. I may support any number of government actions but I do not hide behind euphemisms to convince myself that those actions carry with them the very real potential and actual consequence of force.
Gardening is often proposed as an alternative metaphor to the more common metaphors of war and sports.