SF 86 required- Spouse is Undocumented Alien

What are the chances of passing a background check with an SF 86 if someone is married to an illegal alien if that fact is disclosed up front? It is not a national security job and seems more like a public trust position but the SF 86 is required. Thanks in advance.

Read this: https://clearancejobsblog.com/living-with-illegal-alien-results-in-clearance-denial/