Kyla, Harry Reid is Mormon. So there you go, a Democrat Mormon. 
I’m back. I took a look at the linked essay by Maxine Hanks. She’s a familiar name and is well-known for being annoyed about the priesthood not being given to women.
However, first I’d just like to say that I would not characterize Mormonism as “teaching wifely submission to her husband.” That’s the Fundamentalists you’re thinking of. It’s true that the LDS Church teaches a ‘traditional’ family model, and teaches that it’s a good idea for women to stay home to care for the children if possible–but at the same time everyone knows that every case varies, and that isn’t always possible or a good idea. There is a lot of wiggle room there.
The LDS Church teaches that men and women are partners–equal ones. My husband would never expect me to ‘submit’ to him, and if you ask the average LDS woman about it, she’ll just look at you funny, because it’s not something that is taught. It is of course quite true that many LDS women in general tend to think that they ought to be sweet and somewhat deferential–to everyone–I don’t know if we just tend to be a little behind the times or what, but OTOH I haven’t noticed a lot of that myself in my own area, so it’s just hearsay for me.
No, women don’t have the priesthood. The general idea is that men and women are equal partners who need each other to become a whole unit. So we don’t have the same jobs. Personally, I feel no need to hold the priesthood–but I would certainly call myself a feminist. The priesthood is supposed to be about service, not about exercising power over others. It’s not supposed to be a question of who has more power (that’s called unrighteous dominion).
Someone here once commented to me that she couldn’t see how a Mormon woman could be feminist. Well, guess what–we exist!
For proof, and as a sampling of the sorts of issues LDS feminists are concerned about, here are a few blogs that might be interesting to visit:
Feminist Mormon Housewives
Exponent II (the feminist Mormon’s magazine for the past 40 years)
Times and Seasons (general interest)
There are a whole lot of sites on the Bloggernacle, as it is called–you’ll find a list of links on all of these, esp. T&S. There are other women’s fora, such as Mormon Mommy Wars, but I’m not familiar with all of them–who has time?