Whenever a disaster happens here on Planet Earth, the first responders frequently come from the Military/National Guard. They have manpower, equipment, and financial resources to respond to the unexpected.
Today humanity's greatest challenge is dealing with Mother Earth's curveballs... Floods, Tsunamis, and Earthquakes can all dramatically upend the lives of affected people, anywhere on the planet.
Rather than throwing together a response to the disaster-du-jour (of the day), we should have ships on standby that are prepared and ready to lend assistance to the people who need it.
The real Planet Earth has an ongoing situation that could use a ship of superheros like those in Gene Roddenberry's Star Trek soap opera.
60+ days have passed since the Deepwater Horizon's explosion and sinking. BP company engineers have been working continuously to stop the oil, but all efforts to plug the gusher in the gulf have failed. Efforts to contain the oil are ongoing, but the best case scenario calls for the well to run until the relief wells are completed in August.
In short, people are becoming aware that BP's Big Problem in the Gulf of Mexico is probably the most epic environmental catastrophe of the past 1000 years.
If only the Enterprise was available to help.