What do you mean by this? There's a very strong, very cerebral theological subculture in Christianity. I think they'd raise their eyebrows to be told they aren't analytical enough. And their works aren't widely read, but they produce memes that filter through popular Christian sermons and books as time goes on.
Or do you mean something specific by "analytical theology"?
In Christianity specifically (and perhaps many other religions) there is also the tenet that faith trumps reason, which is what I think Luther was going on about in this quote.
Somewhat, but how many people watch Transformers versus read the latest cryptocurrency paper?
And there are many styles of preachers that teach and talk much like an enthusiastic college lecturer. They are very erudite and draw large audiences once a week. To talk about philosophy, ethics, morality, and critical analysis, basically. And it's really common for congregations to break out into smaller groups throughout the week to have similar self-lead conversations.
> ...there is also the tenet that faith trumps reason...
That may be a cultural disposition among some, but it's not a tenet. In fact, Christ himself used reason, for example, when saying, "...[a] house divided against itself will not stand." He was using deductive logic in that case to refute that he was exorcising demons as an agent of the devil.
Luther's quote (as is the case of many popular quotes of the founder of Protestantism) was a direct reaction against a view opposing the quote held by the Catholic Church at the time (and, in this case, still today), not expressing a general and unifying belief of all or most religious (or even Christian) people.
So, yes, he would differ, but many religious people and institutions would differ with him on that point. The upthread quote shows Luther's attitude toward reason, but it's offering as illustrating the attitude of religion to reason fails.
Does it help to replace 'philosophers' with 'philosophically-minded theologians'?
It has been corrected.