I have a very superficial knowledge on the conflict, so i have a few questions:
Does Hamas have a presence on the West Bank or is it only limited to Gaza?
If Hamas is such a threat, what stoped Israel from invading the strip and toppling the Gazan administration? They've conducted strikes and bombings there before, would a full on invasion be considered risky or undesirable in some way?
I know Hamas has support in Iran and Lebanon, but elsewere in the region is it seen as a legitimate authority of the palestinian organizations, or is Fatah the prefered one? Would anyone object to Hamas being ousted?
2005 Israel withdrew from Gaza.
2006 Palestine has first and final elections. Hamas does well in Gaza, Fatah, traditional leaders and party of current Palestinian President Abbas and ex-Palestinian President Arafat wins in West Bank. Later in 2006 Hamas seizes control of Gaza and effectively secedes from Palestinian Authority leadership, running a separate regime.
Since 2006, negotiations between Israel and Palestinian Authority have been rocky in part because the Palestinian Authority can't speak for Hamas and Gaza. Hard liners on both sides benefit from violence and the regular cycle over the last 17 years of "Hamas attacks out of Gaza, Israel retaliates" is good for the Israeli right and far right in terms of making security the main issue and good for Hamas because they recruit off of blown up buildings and such in Gaza and garner international sympathy. Meanwhile settlement continues to creep into West Bank and people conflate the mess in the West Bank with the different mess in Gaza.
Basically the entire world accepts the government of the Palestinians as the Palestinian Authority, which is run by Fatah. The only people who accept Hamas as legitimate representatives of the Palestinian people are people like Laki. Hamas has never accepted going back into the Palestinian Authority and is terrified of the idea of another Palestinian election, which is why they haven't participated in one since 2006, because they know Fatah will win and would have a claim to regain control of Gaza.
This is factually incorrect. Hamas won 74 seats while Fatah won 45 seats in the 2006 election. Hamas beat Fatah 45-17 in district-based seats, winning both the West Bank and Gaza. These numbers are all on wikipedia if you dont believe me. Haniya (Hamas) became the leader, but Israel (and the US) refused to recognize the election results since Hamas won. Israel also refused to release the PA tax money to a Hamas government. After some monkeying around by Israel and the US, they somehow got Fatah to take over West Bank, with Hamas in Gaza.
There was never another election but nobody, neither Israel, the US, nor Fatah wants another election, and its questionable whether anybody would accept the results of an election in which the wrong party won.
I dont like Hamas either, but lets not repeat the common revisionist history about these elections.