In both cases, it helps to be clear about terminology.
You can't simply introduce evidence and conceal its source from a judge; that evidence would be excluded from trial. You also can't introduce evidence that chains back to excludable evidence.
But the products of NSA/FBI fusion (or "SOD", or whatever you want to call it) are never introduced as evidence, either directly or as cause to authorize a search. That's why the process is called "parallel construction": it is the legal opinion of the DOJ that you can use excludable evidence as intelligence so long as you then build a case from probable cause (either for a warrant or arrest) that doesn't stem from that intelligence.
In other words, you can exploit the NSA to put a detective in the right place at the right time. But the detective will need to observe you doing something that gives them probable cause for a search: you'll need to, say, do an open-air drug transaction, or get stopped for running a red light and then have drugs plainly visible in your car (or have a dog authorize the search, which is plainly problematic).
The way parallel construction works, the information coming from parallel construction is never brought to court. This bothers criminal defense attorneys and civil rights advocates. It has never been the case that prosecutors are required to furnish all the information they collect on a suspect (though they are required to furnish any potentially exculpatory information, per Brady v. Maryland). But people opposed to parallel construction see this process as a bridge too far; one way to look at it would be that the whole process of discovering probable cause is something that a criminal defense can challenge, and so that whole process is potentially exculpatory.
It's also helpful to know that parallel construction isn't a new thing. It's similar to the process that works when the FBI/DEA has a highly-placed informant in a criminal organization. They want to make cases from that CI, but they don't want to expose the CI, not least because they'll have more cases to make down the road.