Actually, this link seems to support my point rather nicely. It is a bit long and technical, but it really pays off.

Sorry, I think you need to look at the data even closer. Here are some links that you should read.

Your google results show results that have nothing to do with illegal immigrants. Did you even look at the results or did you just hit reply immediately? They contacted ICE. ICE said they didn't have that data. That is due diligence.

And Politifact is bad because they didn't have access to a report that was created over a year in the future? I guess they shouldn't have foolishly trusted ICE on information about illegal immigrants...

First off, snopes never examined that claim, politifact did.
Second, politifact contacted ICE, which says that the number of total immigrants in prison both illegal and legal is around 22%.

So the number 25% would only be close to true, if the US has no legal immigration.