Depends upon which faction they belong to. If you check the
Inquisitor RPG Rulebook, which
GW have released for free in .pdf format, you will find the various factions and their descriptions, giving you a better idea of what they believe & how far they'd go, essentially, and in what manner to complete their aims.
The bottom line, though, is that a Radical Inquisitor will go to whatever lengths
he/she believes are necessary to defeat Chaos/Xenos/Heretics.