Because salvation is by faith alone in Christ alone and we are not saved by our works good or bad, yes, a homosexual person can go to heaven. Having said this, however, there is always the question of whether such a person has faced their sin and truly put their trust in Christ. If they have, then to continue with a homosexual lifestyle is living in rebellion and a believer will eventually experience misery and divine discipline.
The Scripture, which is God-breathed and accurate, gives us God’s declaration concerning this issue. It clearly states that it is sinful and contrary to man’s basic nature and the way God created us. Scripture gives us God’s revelation on this, not to keep us from having fun or from enjoying life, but to protect us from ourselves and the depravity to which we can all go when we seek to live our lives apart from a relationship with Him in the light of the Bible as His index and authority for both belief (doctrine) and practice (behavior).
For a Christian site that has done a great deal of research on this and other current moral issues in our society, please take a look at Probe Ministries at www.probe.org. They have several articles by a number of writers and researchers who have studied this area and I am sure they would be delighted to dialog with you on this. Search for “homosexual” and you will find a number of articles with the names of the authors of the articles and their email address.