Yes.
First, on the issue of ballot simplicity, which I agree is important, at the moment a ballot lists candidates who are standing. What I am proposing is that instead of just checking off one of those names or filling in a circle or pushing a button for one of those candidates, a voter would have the opportunity to do more and actually rank the candidates.
However, I think it's very important that voters not be required to rank candidates, or at least not be required to rank any more of the candidates than they want to. If there are eight candidates on the ballot, perhaps they'll choose to rank three or four of them, or a voter could just continue to vote for a single candidate. That would be putting one candidate first and basically announcing that the others are in a tie for second. That would be fine too. In any case, it would be up to the voter. That kind of ballot, I think, would be agreeable, because in principle voters could continue to do exactly the same as before, but they would have more opportunity for expression.
As for stability and strong government, when I propose moving to majority rule or, for that matter, alternative voting, both of which are majoritarian schemes by contrast with PR systems, majoritarian systems tend to produce majority governments. That's not a guarantee, but they are more likely to do so than proportional rule. If voters want stability, they're more likely to get it under one of these majoritarian systems.