Tzippi,
I am afraid that I was not clear in my post.
Of course (we) MO people ask our Rabbanim shailot.
There a 2 major differences, as far as I understand:
First of all, they will probably not be the same Rabbanim;
people tend to pick a Rav whose Hashkafa is fitting for them.
Secondly, most MO people that I know tend not to ask shailot
in matters not directly related to Halacha. Of course, there ia a wide
range of hashkafot in the MO world, just as in the Hareidi world.
The point that I was making is, since many Hareidim accept the opinions
of their Gdolim in all matters, this provides a real opportunity
for the Gdolim to solve this (and perhaps other) problems that are critical
to the Hareidi world.