This isn't a car, there is no sprung mass.
unless you have one of those outlawed trek y-foil road bikes with the suspension fork...
edit:
but even if you did, it wouldnt have the same effects it does on a car. lots of unsprung mass would poorly effect the response of the suspension, but thats about it. i dont think handling would be effected as much as weight is not transfered to the outside wheel