I fear you have a big challenge- the chances that two different mics will make a seemless cut on continous dialogue is slim- even if the mics are very similar in design and purpose and almost hopeless if their placement was not identical.
That said- a pretty solid understanding of sound and the STP toolkit is badly needed. If your project is anything but a hobby, you might drive yourself crazy- experimenting with audio is fun when you know what your doing- its maddening when you don't.
STP has an interesting little tool- spectrum analyzer- I believe it is called. If you are so lucky as to have the same dialogue recorded from both mics, you might be able to anaylize "visually" what is different between the two.
If this line makes sense and you have the same dialogue from both mics, try it and see if you can "see" the difference and make the needed adjustments- it will never sound identical because- it's not.
Your best hope might be to "tweak" both mic tracks to a "middle-ground". By that, I mean effect them both in a way that they sound similar. The hope of making A sound like B, or B sound like A is slim, maybe you can make A and B sound kind of like C.
STP is awesome but it's not a replacement for a consistent, quality-minded location audio person with good gear.
Last thought- any hope of ADR (Automated Dialogue Replacement, I think)- or calling your talent in to "revoice" this portion of the show? This is the process of putting talent in a booth, playing back the scene on a monitor and letting them revoice the scenes in question.
Hollywood, and some of us, do it all the time. It can be tedious but is most effective.
Good luck,
Tim