Faith is faith, whether it is a "true" faith or not. The first step in any faith is an a priori acceptance of its validity.
A priori doesn't mean it's "baseless." Every belief, whatever it may be, is based on something. A priori is wholly deductive; therefore it is not mindless, baseless or irrational. But it is not necessarily true. Faith is a belief, not a proof. Just because I believe in something doesn't make it true.
The problem with faith is not the faith itself but when someone claims that his faith is "true." This extraordinary claim demands extraordinary evidence.
Gravity is easy, but when it comes to religion, things get a wee bit more complicated. When asked to authenticate it, the believer offers faith itself as proof! The "proof" that the Bible is God's own word is your belief that it is; but your faith is not a proof that it is!
"A priori" is deductive, so from what are you deducing your belief? The reason I say that your faith is "baseless" is that you admit that it is blind. Can one deduce from the blind? No. Every time I say that we can have a reasoned faith you say "NO, NO, NO", we cannot. How can you now tell me that your faith is not based on the irrational? You can't. :)
The problem with faith is not the faith itself but when someone claims that his faith is "true." This extraordinary claim demands extraordinary evidence.
I can't imagine a person bothering to have faith if he wasn't willing to claim it was true. Faith is not akin to "I wish I had a rocket ship". Faith is akin to "I know for a fact that Christ loves me".