Good. Stay away from charging time if there is no contractural reason (like the absurdity of cost-plus) to do so. Every environment that I've ever seen that required people to keep time cards filled resulted in just that and only that, along with projects that took longer than necessary.
What is the goal? If it is to get more projects done quickly with quality, and on time, what does cost tracking do to support it?
Rather than push for cost control, I would spend time and effort pushing for project control through resource leveled schedules so that there is at least some chance of making something like a rational promise to your clients.