I believe that the practice of our religion doesn't have to vary as much as our perceptions can and do. I really don't care in the end if the person sitting next to me in church is a "liberal Mormon" or a "conservative Mormon", as long as they are practicing Mormon - even if they are unbaptized but practicing - even if they are hanging on by the skin of their teeth and not fully active but striving to reconcile their own dissonance. (For example, I would rather worship in our pews and learn in our other meetings and associations with an excommunicated gay man who lives the Gospel to the absolute best of his ability than with a baptized member who is a hypocrite and doesn't even try to live the Gospel.)
I am one of those who drives many skeptical intellectuals nuts, since I am so adamant in my ability to say, "I know." On the other hand, I also drive some conservative members nuts, since I am so adamant in my inability to say, "I know" about some things - and my inability to expect others to be able to say "I know" about anything. Frankly, however, I admire those who can't be comfortable saying they "know" the Church is true but live the precepts and attend faithfully every bit as much as those who can make that claim based on powerful, miraculous experience - since, in the end, it is by our faith and our fruits (not our stated beliefs) that we shall be known. ("Not everyone that sayeth unto me, "Lord, Lord . . .") Also, I have a deep admiration for anyone who can live the life they want to believe but struggles to do so, since I believe that is the ultimate example of true faith ("the substance of things hoped for").
"Are liberal Mormons real Mormons?" Certainly, as long as they are trying their hardest - to the best of their ability - to "Come unto me," "Keep my commandments," "Take my yoke upon you," etc. I'm just saying it's not my place, since I currently am not a bishop, to make that judgment about anyone else - even by slapping a label on them, since it's true of ALL Mormons regardless of label.