I've seen weighted seats proposed before. It is a fairly intuitive idea, so nothing new. But my instinct is that I don't think it's such a good idea. I think there is something to be said for a parliament made up of people with equal power.
Would the weighting purely count towards their voting power in the elected body, or does it have other effects such as more time to speak?
I think one problem is that it there might be a "celebrity" effect. If multiple candidates are standing for one party, the best well known one is likely to take most of the power available to that party without necessarily being "better".
Also while it's based on votes, voters don't get a say in this weighting. I might prefer candidate A to B (from the same party, or having similar ideals) by a small amount but might still prefer them to have equal power in parliament rather than having all the power directed to A. So I'd have to weigh up what I think other people will vote for and then vote in the opposite direction to balance it out.
If democracy was working properly in the first place, there should be enough candidates out there to represent your views without having pin everything on potentially just one candidate - a single point of failure.