Who Will Shas Appeal to Under Rav Shalom Cohen's Leadership?

I find the announcement of Rav Shalom Cohen being given the mantle of "Maran" of Shas to be interesting. Not because of who he is or what he has said in the past, but because of how I think it will affect Shas.

Shas has always been interesting and a bit of an enigma. Shas has two very different publics it services and attracts:
1. The Haredi voters of Shas, yeshiva boys and families, avreichim and families, etc., makes up a significant percentage of the parties voters.
2. The "amcha", sefardi families who are traditional but not Haredi makes up another (greater?) significant percentage of voters.
For some reason, even though Shas acts in Knesset like a Haredi party, similar to UTJ, with the Haredi issues at the forefront, and its red lines mostly seem to be on the haredi issues, the traditional voters have voted and supported Shas, even though it has not necessarily been  areal good match regarding the issues that are important to most people. A traditional person might care about Haredi issues, such as certain budget cuts and haredi draft, but that would not necessarily be so important to him or her even at the expense of basic issues they need or prioritize, such as peace process, employment issues, educational issues, etc.
It was thought that it was Rav Ovadia who kept it all together - with Rav Ovadia at the helm, these people were willing, even happy, to vote Shas despite it being more of a Haredi party party than a social Sefardi party.
With Rav Ovadia gone, that has been the big question for the future./ With the "appointment" of Rav Cohen as the new maran, it looks like the question is being answered. Rav Cohen is far more haredi than Israeli, far more Haredi than the amcha, less charismatic... I would not be surprised to see the non-haredi voters of Shas to move away to other parties such as Likud, Habayit Hayehudi (for the more DL-affiliated people), and Moshe Kachlon's new party if he should actually form it..
I even think this corresponds with the low points Shas is hitting in the polls (as inaccurate as polls are) right now...
It is just a guess, but this is how I see it playing out...