Thanks for the smarta$$ and not at all helpful comments. Why do I question the fact that the piece I am talking about is a filter? The piece does not extend up into the tank. It only is in the fitting in the bottom of the tank. It is more like a spacer/liner piece. I can see no way that it filters. I hate to forcefully remove any part that is not clearly removable.
Just grab that "spacer" with a needle nose pliers and yank it out, you will see it is 4 or 5 inches long and fits over the intake pipe of the petcock.
Or, just put the OE one back in. Maybe, you should take the tank and the new valve to your Honda dealership and have them install it for you.