Are we agreed that the current system of voting is wholly unsatisfactory?
Approval Voting is not a perfect form of voting. However, it is one that most psephologists I know who have been examining alternative systems of voting agree provides a palatable transition form of voting for voters who are accustomed to the First Past the Post (FPTP or FPP) form of elections, which in my humble and correct opinion really does resemble a horse race more than a system of elections that humans should take part in.
Here's a bit about Approval Voting:
At a more advanced level, that is when the voting public has acculturated to more sophisticated voting via Approval Voting for PM, I should recommend the following system.
First: we would all get 120 points at the polls. This, of course, represents the number of members of Knesset. We would be able to distribute the 120 points as we will.
Some of us might want to put all their points on one party. Some, like me, who found that there were strong points in various parties that I would have liked to have represented, would be able to distribute their votes as they will.
The number of seats allocated in Knesset would be in proportion to the number of seats they got as determined by the 120 points that each voter received and distributed as they did.
Next: the party that received the most votes would offer the public five or even seven alternative names for PM.
The public would then elect the PM using the Approval Voting system.
I should refer those who are interested to excellent Yahoo! groups. One is: ApprovalVoting. See: http://tinyurl.com/yv4arx
The other is the archive of this list, which has been shut down: election-methods-list. See: http://tinyurl.com/yuqcoc