As Tim already stated, the common mode range for the OP07 is exceeded.The output range and VCC are also problems in this circuit.
I suggest the OPA363, OPA364, OPA365, OPA,376 or OPA336. The OPA336 is the lowest cost and has the lowest bias current, but…
The attached presentation is where much of the methods for choosing the right R-C and Op Amp to drive a CDAC SAR converter were derived from. Look it over to help understand where the rules of thumb for op amp BW came from.
Let us know after studying attached…