Lebanon has a confessional system of government, which means that the Christians and Sunnis are influential in the state apparatus way beyond their demographic strength.
The Christians look back to the Roman Empire and Mandatory Lebanon under France with nostalgia, when they were the privileged elite. The Maronite Christian Fascist Phalangists are notoriously pro-Israel, hateful of Muslims and especially Shia, and pro Israel. The collaborated with the IOF in perpetrating the Sabra and Shatilla massacres during the Lebanese Civil War, and ever since the Shia rose as a power in Lebanon under Sayyid Muda Sadr (rh), they have fought with Amal and Hezbollah regularly.
The Sunnis look back to the Ottoman Lebanon, when they were the privileged elite, with nostalgia, and are deeply hateful, resentful and jealous of the rise of the Shia in as a powerful political and military force. They tried everything, from inviting Saudi influence to other shenanigans in order to stem the Shia influence. Israel has been courting the Sunni Arabs for a long time too.
The Shia on the other hand have always been the demographic majority but the persecuted underclass, mostly poor peasants and labourers from the villages. The very thought of equality with the Shia stings the Sunnis and Christians like a venomous hornet and makes them seethe.
Then there are the Druze who are a fifth columnist Muslim offshoot like the Bahais and the Qadianis; they are loyal to Israel and have a huge population there, although the Jews treat them like dirt.
So it is very possible that they'll both ask for Israeli help against the Lebanese Shia and their party, Hezbollah. What you read in the article might be very true. They have been calling for disarming Hezbollah for ages now.