Please be specific. Which parts of the claim "The Irish government is proceeding with legislation to outlaw so-called “hate speech” – even after the vast majority of respondents to their public consultation expressed opposition to the idea" [1] are false?The only source for the "vast majority of respondents expressed opposition" claim I can find is your quoted source, a site that seems to focuses exclusively on culture war topics, and is based on their own analysis without publishing their data. Not a reliable source. I took a look at the gov.ie link you shared. It seems there were 104 written individual submissions, and 3528 online individual submissions. Whatever the prevailing mood of the responses, can this be taken to be an accurate snapshot of the public mood of a nation of 5 million people? Also, the gript.ie analysis ignored submissions by groups and elected officials.
Or is the photo of a page of that law, showing that possession of material likely to incite violence or hatred (with no mention of truthfulness as defense) falsified?
This law was debated in the Dáil by the TDs elected by the people to represent their views. People raised issued, amendments were made. The issue around possession of material likely to incite violence or hatred was raised. There was a largely civil public debate around it, where various groups raised various issues, including the specific one you mention. It just didn't go your way. This is how democracy works.
What's happened here is that this seems to have been picked up by the US right (Donald Trump Jr. and Elon Musk have rowed in) and it's brought a lot of attention to it. We largely don't have the deeply polarised discourse here that the US has, our democracy is largely civil and functioning more or less as well as such an imperfect system can. What we're starting to get here in recent years is a vocal and emboldened fringe minority who feel entitled to bring the validity of the whole system of societal decision-making into question when it doesn't support their views. This is the thing that is dangerous here, we've already seen this trend lead to violence in the US.