Hmm let's look at what he was found "vehemently suspected of heresy" for.

Wikipedia: "Galileo was found "vehemently suspect of heresy", namely of having held the opinions that the Sun lies motionless at the centre of the universe, that the Earth is not at its centre and moves, and that one may hold and defend an opinion as probable after it has been declared contrary to Holy Scripture. He was required to "abjure, curse and detest" those opinions."

To be specific, the notion that the Sun was unmoved at the center was heretical. Not scientifically wrong. Heretical. And it ws held that the church was the be the final arbiter of truth in all matters including scientific matters.

A couple of other points.

The issue of tides is more complicated than it looks. The tides around Italy are very messy. Things are much clearer on the borders of the Atlantic ocean. It is understandable that Galileo doubted the relationship between the tides and the moon.

Scientific progress was in this case subordinated to other, including political, considerations. A scientist should not have to be concerned whether his findings will offend those in power. This is a problem that continues to this day.