Also, worth mentioning: it's not particularly easy to get private keys out of servers with the bug.
Is it unlikely for FBI to ask NSA's help?
Notably, the FISA cell phone record orders passed information to the NSA through the FBI, so no hint of a "chinese wall" there. Secret bulk collection for 'national security', everyone bathing in the same pool of data.
I do suspect it's policy not to casually request, or become overly dependent on, such NSA-to-domestic sharing. And – as we've seen in the "parallel construction" revelations you allude to – it's definitely policy to try to obscure any such sharing when it happens.
But to reassure people that it's "probably illegal" is flimsy hand-waving when you can't name the law, and there's public evidence that it happens to the contrary.