Their accuracy isn't much to brag about, though. I discovered through a search engine that someone in the LDS church had done a baptism "for" my departed father. And got most of his details wrong, including his birth year and family relations. But now it's "official" as far as they're concerned.
I've done a fair bit of genealogy. It's a decent geek hobby, it doesn't cost too much, takes a large amount of time, and requires good problem solving skills and the ability to judge and verify information. Plus it tends to tie in with a lot of history and geography, which I'm interested in. I'd recommend it.
I'm not a professional genealogist, but I have found situations which may explain the conflicting information for your father. It could be due to two people with similar names, or misinformation on public records, etc.
Someone I'm probably descended from lived about 50 miles away from someone else with the same name in colonial times. They were about the same age. They both married, and some of their children share the same name as well. Its common to see details from both individuals in other family trees.
A similar situation exists with myself - when I went to school, there was someone in the same school with my name. Different birthdate, but roughly the same age. Anyone who attempts a family tree with me in it will probably run into the same problem.
Public records are not immune to this either. Some of them show interesting errors. The state and the federal government disagree on the date my grandmother died - the state thinks she died a day earlier than the feds. Anyone who hasn't seen the records would consider any genealogical research with the wrong date to be "sloppy". Nowadays, with the Internet, its pretty easy to get both records. But even 15 years ago, having retrieved just one record wouldn't be unusual. Another case would be a great-grandmother of mine, who had the amazing ability to age only 8 or 9 years between each census - she kept lying about her age on every census in order to be younger than she actually was. (In addition, her children could never agree on her father's name either - marriage records and the death certificate give conflicting information.)
Of course, a large problem with genealogy today, especially Internet genealogy, is the severe amount of copying that goes on among amateur genealogists, especially with the lack of verification and citation for the source of information. Citations are very important when it comes to research - there are going to be mistakes in records, and you always want to know the sources when it comes to conflicting information in order to verify which one is correct. Someone may be listed as a son or daughter on the census, but instead turn out to be a stepson or stepdaughter or other relative. Or perhaps a person's name was recorded incorrectly. Blindly following this information results in flawed family trees. But some people are not patient enough to do this, and instead tend to add people without verification or hunting down the source. These are the same people who tend to copy from other individuals family trees, which compounds the problem.
This is one reason why I won't publish my family tree, in its current form, online - I have links and information in my family tree that are, quite frankly, a "best guess". As long as the notes and citations are included, it's clear that the information requires further verification, but if put on-line, the information would most likely be copied into countless other family trees and stripped of citations and notes. I'd rather not do that. ;)
As for the LDS's obsession with genealogy, I tend to really appreciate it. The amount of preservation of old records the LDS has done is amazing, regardless of the reasoning behind that. And really, post-death baptism shouldn't be too upsetting. If you're religion or lack of religion is so weak that a religious ceremony once you're long dead will put you in jeopardy, I think you're belief is misplaced.