It's a common accusation, but no. On the contrary, it is usually made by people who are trying to impose their agendas.
For people brought up to think that everybody in their church ought to believe the same thing, it is easy to mistake an appeal for tolerance as a demand for new teaching. In the current debate, liberals are not all trying to impose the view that there is nothing wrong with gay and lesbian sexuality. Some liberals believe it is wrong, others do not. What liberals have in common is that we accept the difference of opinion and think both sides should be heard in open discussion and debate, without either side being expelled or demoted or treated as 'second track'.