When miners are working on their block, does everybody's block have the same transactions in them?
Miners will naturally be inclined to include those transactions in their blocks that give them high transaction fees (though exceptions exist), because apart from the block reward from coinbase transaction, those are the only incentives for miners. So, whatever transactions have reached a miner through the network, her choices will be restricted among those transactions. At a particular time instance, different miners most likely have different snapshots of transactions available to them. So, the answer is no (with very very high probability).