This seemingly almost happened a year or two ago in Georgia (the US state, not the country) when the legislature overwhelmingly supported ending the twice a year time change. But much like the public, the legislature couldn't agree on if they should go to year around standard time or year around daylight saving time, with one house passing standard time overwhelmingly and the other house passing DST overwhelmingly. There's no good reason for the two houses to each have such strong affinities to one system or the other, which makes me think the two houses may have had an agreement to look like they tried to address the issue that the public wants settled once and for all without actually passing something that would make half the state upset no matter which way they went. Or the party whips in both houses are simply very effective in gaining consensus in their own chamber.

IIRC, one of the bills was to go into effect the year it was passed, which would have been extremely short notice for the IT world to deal with.