It is possible to love someone without endorsing their lifestyle.  Replace LGBT with alcoholics or kleptomaniacs and your argument does not really make sense.  God loves us, and because he loves us he encourages us to rise above our sin.

"Alcoholics and kleptomaniacs are as God made them and He loves all of their human-ness, including their need for alcohol and theft. Alcoholics and kleptomaniacs have a whole whale of a lot of other aspects to their personhood than their need for alcohol and theft - there are some wonderful people out there who's "wonderfulness" is ignored because they are alcoholics or kleptomaniacs and seek to drink an excessive amount of alcohol and shoplift."