I was able to see ADC data through ILA!
First, I needed to hook up the adc_data in the axi_ad9625_core to a new ILA core. Next, I built the bit file and flashed it to the FPGA. Next, I ran a modified run.tcl script from AD-FMCADC2-EBZ Quick Start Guide [Analog Devices Wiki] (it's attached).
Then I was able to run the ILA, and configure the adc_data to samples. You can source the tcl script attached called hw_ila_1.tcl. Set the radix of each of these signals to signed, and you will have ADC data to look at.
The only problem is I don't have access to the SPI register interface though the Linux system or the SYSREF signal for sync purposes. I will tackle that another day. I wanted to see ADC data and I did. I injected a 1 GHz input signal and was able to plot the data in matlab to verify it.
Thanks for the help rejeesh.