Most of our knowledge of Ned Kelly's politics comes from the 'Jerilderie Letter' - a letter that Kelly dictated to John Byrne, a fellow gang member - which the Kelly Gang attempted to have published for wide circulation during their raid on the town of Jerilderie. It wasn't fully published or circulated in Kelly's lifetime, but references and summaries of the contents were published.
The letter is a furious attack on the police, establishment, and regularly peppered with pro-Irish sentiments and criticism of the 'tyranny' experienced by Irish convicts and their descendants in Australia. Note
transported to Van Diemans Land to pine their young lives away in starvation and misery among tyrants worse than the promised hell itself all of true blood bone and beauty that was not murdered on their own soil or had fled to America or other countries to bloom again another day were doomed to Port McQuarie Toweringabbie and Norfolk Island and Emu Plain and in those places of Tyranny and condemnation many a blooming Irishman rather than subdue to the Saxon yoke were flogged to death and bravely died in servile chains but true to the Shamrock
Anti-police rhetoric and statements are the main theme of the letter itself - Kelly defends his status as an outlaw by claiming the police unfairly persecuted his family and community. Police corruption and discrimination is regularly alluded to. Quite colourfully, at one point he calls police "a parcel of big ugly fat-necked wombat headed big bellied magpie legged narrow hipped splaw-footed sons of Irish Bailiffs or english landlords".
Kelly's rhetoric, outrage at the injustices of colonial Australia and his immense popularity and folk-hero status amongst Irish-Australians during his own life have all embedded him as one of Australia's most debated figures. For these reasons, it has been a common enough position to link Kelly with other Australian rebellions, like the Eureka stockade or the convict uprisings. This, in my opinion, is somewhat accurate, Kelly clearly saw himself as intractably in opposition to the 'Tyranny' he describes. However, it ignores that Kelly was principally an outlaw, responding to his situation. He did not arm himself and his gang to organise against the state - but to flee from authorities and commit further crimes.
In my personal opinion, I would not consider Kelly's actions to have been a forethought and planned revolutionary war or republican movement - but he certainly would not have been ill-disposed to the idea. He certainly isn't alone in nineteenth-century Australia for his violent anti-English rhetoric and sympathies. All evidence we have of his own thoughts and feelings indicates a man who had nothing but rage for the existing power structures of Australia in his lifetime.
There is always more to be said on the subject but you might want to read earlier answers to a very similar question. https://www.reddit.com/r/AskHistorians/comments/6lk43d/were_ned_kellys_primary_motivations_for_the/