Yes. I think a strategy with some chance of success is to sidestep the extremists and make friends with the local Gazan population.
On the other hand Hamas want the reverse. They're happy for the local population to take the brunt of the Israeli response. This can only increase their local support.
The difficult thing is for the IDF to separate the Hamas operatives from civilians. Yet it is what they must do. And be seen to do so.
This is really the very essence of the strategy adopted by Hamas.
It's clear that Hamas cannot defeat Israel with a direct military confrontation, so their main target is to win the public opinion and conduce a war of attrition.
Hamas regularly shell missiles over civilian targets in Israel.
It doesn't matter if the missiles strike or not: Israel gets partially paralised by having citizens running for shelters.
At the same time there is a huge costs for Israel to defend its own population (missile defense, bunkers, etc.) and a political cost... to don't mention the occasional death.
This is not something that any state, especially one very small as Israel, can suffer without doing anything: the material and political cost raise exponentially.
Israel at a certain point has to respond and usually, like in this instance, this means trying to destroy Hamas bases and missile production facilities.
The problem is that Hamas uses civilians as a shield: it's almost impossible for Israel to hit Hamas without killing civilians too.
Everytime this happens, it's a small win for Hamas in terms of international public opinion as well as increasing the local population's hate for Israel.
Given that Hamas doesn't see losing its own members (at least the "small" guys) and losing civilian as a big concern then it's really a win-win situation for them.
If Israel does nothing, Hamas "wins" by attrition causing huge costs and showing Israel as powerless.
If Israel retaliates, then Hamas "wins" the public opinion.
The impasse can be broken only if Israel succeeds to completely annihilate Hamas or find a good living arrangement with a "normalised" Hamas: both are not really likely to happen.