Two interesting points to consider: The two sources you listed have a nearly 100% difference in the amount of water they claim Israelis are using (300 liters a day vs 183 liters per day). Both are high compared to Wikipedia's usage figures, at 137 liters a day.
Second, when looking up information about this, it seems that about 150 million m^3/year of of in total is pumped from the aquifer, while it seems that overall, Israel gets (...very vaguely) about 2 billion m^3/year from other sources (desalinization plants, for example, were aiming to supply 500 million m^3/year by 2015, no idea what the current status is). In short, it seems the West Bank is going to need to import water from somewhere to match Israel's consumption. (Also, information on this seems /very/ sparse and disjoint. I'd appreciate finding a good, well cited source...)
Also, note that there are multiple aquifers that seem to be referred to as 'mountain aquifers': There's the larger, Western mountain aquifer, which extends from a few miles from the coast, through Israeli territory, well into the West Bank. In terms of area, it's hard to say since different maps seem to draw it at different sizes, but at a guess it seems that it's split 50/50 between the West Bank/Israel, and according to one map, the Israeli side is cheaper/easier to extract. And there's the much smaller Eastern Mountain Aquifer, which is mostly contained within the West Bank, although it seems to have some corners peeking out in the north and south near the Jordan river.