SPI is straightforward, you have the data lines to and from the chip, the clock, and the chip select pin. It should be self-evident how these line up between the ADC and the MCU.
Your circuit looks good, except you must add a resistor between the op-amp output and the ADC input. A C by itself will do nothing but stress out the op-amp (and possibly make it go unstable). You want an RC filter.
If you had differential inputs, you'd use a resistor on each line, and a capacitor bridging the two ADC pins (like the 1uF and 500 ohm resistors shown in the diagram you sent). Extra caps (like the 0.1uF caps shown in the diagram) may be useful to, but less so that the differential capacitor.