Of course there is a flaw with your statement. And please correct me if I am wrong, but didn't Israel occupy Gaza and then turn Gaza over to the PA?
And once they did, what happened once hamas moved into Gaza?
Just to make sure I have this factually correct:
news.bbc.co.uk...

Israel completes Gaza withdrawal
Israeli troops have pulled out of the Gaza Strip more than 38 years after capturing the narrow coastal area.
Tanks and armoured vehicles left under cover of darkness and the last officer shut the Kissufim border at dawn.
Thousands of jubilant Palestinians entered the former Jewish enclaves, and some set an abandoned synagogue ablaze in a settlement near Khan Younis.
Palestinian leader Mahmoud Abbas described the withdrawal as an historic and joyful day for his people
www.allheadlinenews.com...

Gaza City, Gaza Strip (AHN) - Hamas insurgents in the Gaza Strip disrupted fuel supplies to Gaza after a petroleum truck was attacked by
militiamen on Sunday headed for the region that has been left without power and food for several days, according the reports.
"Dozens of Hamas militiamen hurled stones and opened fire at the trucks," the sources told the Jerusalem Post on Sunday.
"The trucks were on their way to receive fuel supplied by Israel. The drivers were forced to turn back. Some of them had their windshields
smashed."
The Islamist group, Hamas, has been controlling the strip since June and launching attacks against Israel from the occupied territory.
Meanwhile, the fuel on Sunday was supposed to reach the UN Relief and Works Agency [UNRWA] and hospitals in the Gaza Strip, according to the Post.
"Hamas is taking the fuel for it the vehicles of is leaders and security forces," the eyewitnesses told Post, referring to the Hamas militiamen's
confiscation of the fuel trucks passing from the terminal to the city.
The eyewitnesses added, "Because of Hamas's actions, some hospitals have been forced to stop the work of ambulances and generators."
Seems like hamas is hurting there own people quite a bit.