Yes! The Church of Jesus Christ of Latter-day Saints does not endorse any political party or candidate. None! (Very rarely, the Prophet will take a stand on a particular issue. This is very rare, and it usually is for issues related to or likely to impact families. I remember only 3 instances in my almost 40 years.)
If anyone tells you differently, they are misinformed, or trying to sell you something.
There is one popular talk show host, Glenn Beck, who has some pretty strong political views. He happens to be a member of the Church of Jesus Christ of Latter-day Saints (Mormon). Personally, I do not agree with many of the opinions he expresses. I believe that most talk show hosts, regardless of their beliefs, are trying to increase their audience and inflame issues beyond what they normally would.
They should not be accepted as spokespersons for their religions, unless that religion appoints them as such.
In other words, Mormons are members of many different political parties. The Mormon church does not require or encourage membership in any party.