I don't think it makes any difference, pretty much all western nations are heavily pro-Israel, and there's one reason and one reason for it - lobbying. Look at how strong AIPAC is in the US.
Look at how quickly Morsi was removed from power in Egypt as he would've been a threat, and replaced by a US puppet.
The Israeli political and lobbying power is incredibly strong. They'll never allow a 2 state solution - their only goal is to erode the west bank with all the evictions and new settlements.
On support for Palestine, most people have already made up their mind. Either it's the oppressed Gazans stuck in a massive prison camp, or it's Israelis fighting against Terrorists.
I don't think anyone can in good conscience claim Israeli was doing anyone in Gaza any favours, when they control the borders and allow only what they want in inside. There's no freedom, and every year or two they decide to bomb the shit out of the place. Combined with the increased pace of settler attacks and evictions of Palestinians in the west bank, it's not hard to see why Palestinians would be incensed. To then claim the Palestinians are somehow wrong when they have to suffer through that day after day while the world turns a blind eye is minimising how it must feel to be them. I doubt there's a population alive in the world who would meekly go along with those conditions. To deny people freedom, to deny people security in their own property, and then ability to have a military and now settlers kill at will - it's too much.