It's about 15 minutes, I think. Problem is, I don't know what time it hits that area. I think they still keep a walkway behind the "route seating", but don't know how bad it would be to get past that area (by the side of Tough to be a Bug) as the parade starts finishing. You would definitely need to be somewhere in the BabyCare area or the Bridge to the Pier area/Golden Dreams area to really make it work.
If you watch it on the bridge side of the parade route - near Golden Dreams, you might just miss the tail end, but you should be able to catch most of it. Then, you can just hop over the bridge to Ariel's.