The year is 2060. Plastic waste and other types of solid waste have filled up the planet's landfills. A solution is proposed: load up more than 95% of solid waste on Earth on to a space shuttle and then send into space. Obviously, this will be an unmanned expedition, as this shuttle will exit the solar system in about 3 years and will never return to Earth. Politicians and ecologists both love the idea because we're getting rid of solid waste in a seemingly easy method. For the sake of this question, assume that this kind of technology and funding is ready. Also assume that all of the solid waste has already been collected from every corner of the globe and is ready to be loaded.
However, to pass 97 out of the current 193 (a simple majority) UN members must vote to send the shuttle off. Does the vote pass and thus launch the shuttle? Are there any possible obstacles/reasons any government would object to this? Also assume that no government has to pay any money for the shuttle.
Edit: Assume that some higher power is paying for the shuttle, so the costs of the shuttle are taken care of. Also assume that this is more of a one time thing, so trash is sent up to space once, you won't be seeing the shuttle or the trash ever again.