how to design a current feedback amplifier
The OP's datasheet tells in detail about specified supply voltage range and achievable voltage swing.
AD8001 maximum supply would be +/-6 V. It simply isn't suitable for your requirements.
You surely need a +/-15V supply and an OP that is capable of driving more than 100 mA. It also must be able to handle the respective power dissipation.
I'm using e.g. a TI THS3001 for similar purposes. But it isn't guaranteed to drive +/-10 V in a 100 ohm load, typically it can.