I think the key here is to introduce the concept slowly because saying "stop ageing" freaks people out. A lot of people have this idea of what "natural" means and stopping ageing just doesn't sit right with them. I think a better strategy would be to call it "eradicating diseases and higher quality of life towards the end of your life", both of which is really ageing research, but with a better spin.

We've been extending our lifespan for the last century through various technological advances. We are just continuing that trajectory, albeit at a faster pace.

This is a really great scifi short story that is kinda relevant to this: http://www.skyhunter.com/marcs/GentleSeduction.html