It has been my experience that when the subject of polygamy comes up in conversation among active Mormons, the most commonly expressed perspective is that polygamy (or, more accurately, polygyny) will be the order of marriage in heaven and will be practiced in the celestial kingdom.
It is painful for me to hear this perspective, particularly when it is expressed as though it is the only possible perspective that a faithful Mormon could have. Personally, I do not believe in eternal polygamy, and I find the concept to be horribly demeaning to women. The thought of my daughters spending eternity as polygamous wives breaks my heart. That sounds like hell, not heaven.
I am extremely grateful for those within the LDS tradition who have publicly expressed their faith that polygamy will have no place in the hereafter. For example: