This would make for an interesting timeline. Mainly because this is going to cause conniption fits amongst the Prussians and Austrians who ae going to see increased Polish agitation in their hown holdings in Poznan, Danzig and Galicia (one could see a scenerio where the Austrians might be mollified by the restored Kingdom being ruled by a cadet branch of the Habsburgs, but this will only go so far). This also likely solidifies Russia's position in the Prussian camp - and possibly Ausria too, once the wars of German Unification wrap up.
Of course, one of the problems you're going to run into is just how to get the French and British to support the Poles in the first place and, once that has been done, how they are going to practically help them - I suppose the Royal navy showing up in the Baltic is doable, but that's likely going to cause a much larger war in the process.
Desite this, it would be interesting to see what form Poland takes in this ATL - the Positivists didn't rise to prominence until the wake of the failed Warsaw rising, and so we're dealing cheifly with Romantic Polish nationalism here. Also, the Warsaw rebels actually went out of their way to include the city's Jewish population in the revolt, and this could well play a large part in post-war Polish-Jewish relations as well. Including Lithuania into the mix must be a bit much - I'm unsure how deep support for a renewed Commonwealth was in Lithuania at the time, outside of the gentry (certainly, as late as WW1, there were hopes to include Lithuania into the new Polish state - especially by leaders such as Pilsudski, but these efforts recieved a less than warm reception from the Lithuanian people themselves. Thoughthe situation could conceivably have been different 50 years prior)