I’m not talking content of message but rather time and place. Just a disrupting church services is unlikely to win converts, so is disrupting festivals. It is and should be legal but is it effective?
If the Lord told them or anyone else to engage in street preaching then it is effective even if it is to just to an audience of one (the Lord Himself). And it is not my place to say the Lord did not tell them. Given their message of love and reconciliation from Jesus I would say they are sent by God.
And it is most likely the reprobates (gay or not) among the liberals of society that most want street preaching shut down as they perhaps unwittingly are taking the gay people (who aren’t reprobates yet) down with them and the Lord knows these gay people (who aren’t yet reprobates and are still receptive to the word of God coming from street preachers) may not ever darken a church door and thus need someone to come to them.
That is why sometimes Christians have to go into the highways and the byways and reach people where they are.
At many marches there are different people marching and so as long as the Christians are not confronting or harassing people they also have a right to March or give speeches and it is then up to the police to just separate groups if one group invades the area of another group.
If you are out in public marching or speaking then it is not a private church service it is in the public venue and there for others can also be there