Me as well, assuming the believer who answers sees the two as incompatible.
I am also interested in the fundamental difference between believers that see faith as incompatible with reason but must ultimately choose faith over reason and those that, as you said, see faith as reason. What is it that makes some see it one way and some see it the other? Is it a difference in their values? Is it a difference in their understandings of what faith and reason are? Is it a difference in the strength of their emotional experiences (attributed to the divine)?
What exactly is it?
I can only echo Skeptic's words. If I am misunderstanding something, please feel free to correct me.
I do not think that reason and faith are incompatible or mutually exclusive. In fact, they are complementary.
When I am confronted with a problem, issue, matter, question in the present, when I do not have a clear course of action for the future, reason is what I use to build at least two possible courses of action. But after coming up with these two possibilities, I need to decide which is the better course of action. No matter how strongly I build either case, in the end I would have to make a judgment call, and faith is what bridges the gap between the evidence I have (built on reason) and the choice I make.
To take a bigger example, we can look at a great historical figures. Let's take George Washington.
In 1770, he experienced the oppression of the British government on American colonialists, and thought about overthrowing the British. But in 1770 if he told others of the plan, at least some would have derided him as suicidal, unreasonable, impractical, irrational.
Surely, he couldn't have made the choice to declare Revolution based on any evidence that the Revolution
would succeed--he had to take a risk, or simply, have a bit of faith--not necessarily in God, but still, some kind of belief in that what is not currently the case
will become the case.
It is by that willingness to take a risk
against the odds that founded the American Republic.
Reason builds on the past to help us judge the present, but faith is what allows us to grasp the future.
On the other hand, faith without any reason is blind, and means nothing.
Read what Jesus says is the cost of following Him:
'
"Suppose one of you wants to build a tower. Will he not first sit down and estimate the cost to see if he has enough money to complete it? For if he lays the foundation and is not able to finish it, everyone who sees it will ridicule him, saying, 'This fellow began to build and was not able to finish.'
"Or suppose a king is about to go to war against another king. Will he not first sit down and consider whether he is able with ten thousand men to oppose the one coming against him with twenty thousand? If he is not able, he will send a delegation while the other is still a long way off and will ask for terms of peace. In the same way, any of you who does not give up everything he has cannot be my disciple."' -- Luke 14:28-33
The Lord asks those who say want to follow Him to first sit down and calculate the cost. Only if they believe that the rewards are better can they take up the road of discipleship.
And we can look at how some have rationally calculated, decided that the future rewards are better than the current costs, and went ahead with it--people who have sacrificed everything they own to walk this road.
I'm not saying that that automatically makes Christianity the only faith that is right and you have to believe blah blah... I'm saying that that is what the power of faith can do, something I don't believe reason alone can make us do.