I can bring insight from the side of Czechs and Slovaks as I was born in Slovakia and now live in Czech republic. I also lived in Vienna for one year but returned back.
From all royal families, Habsburgs are probably in the worst position since their former empire is splintered into many small countries. From those countries only Austria and Hungary have a long and popular tradition of kingdom as only they were well represented politically.
Slovakia was part of Hungary and at the end of 19th century Hungarians misused their political power to try to "erase" identities and languages other than their own as it was seen a threat to the kingdom. What is often forgotten is that in other counrties like Britain, Russia exactly the same thing was happening. In history books this period is usually depicted negatively, the kingdom being backward, slow to reform. So there is nothing good connected to monarchy in Slovakia and Slovaks would never accept a Hungarian king as their own. There is no party for restoration of Monarchy in Slovakia.
Czechs had their kingdom for quite some time before being joined with Austria. But Habsburgs are seen as "foreign" rulers, not respecting Czech interests in the past. People do not care about monarchies or the Habsburg family. There is a party for restoration of monarchy, similarly like in Austria, but with minimal support. If I had voting rights in Czech republic I would probably vote for it.
In general there is a crisis of democracy in the eastern counties, its best seen in Hungary (Victor Orban firmly in power, main oposition Jobbik a radical nationalist party), then Slovakia (Robert Fico has also a sole party in power, not going to change soon). In Czech republic no single party has managed to grab power yet. The main problem is political parties functioning like mafia - with the purpose of gaining power and using it to fund their existence (from state funds) and to maintain it (using dirty means) not really caring about real problems. People see it but every new party turns out to be the same. In some countries like Russia it was solved in autocratic way by electing Putin, who does not betray Russia and in exchange he gets wide support. I do not see how this problem can be resolved well here. This is a chance for a pro monarchy party to present a different solution where the political power is party held by a monarch.
The highest chance for restoration is in Austria or Hungary, but even there its very small, only theoretical. Nothing happens without approval of parliament and its extremely unlikely a pro monarchy restoration party makes it in there. Although if they managed to restore monarchy in one of the countries with positive results, it could result in others accepting them in a decade or so.
However we are speaking about a constitutional monarchy. But due to the former empire being splintered, many problems would arise - common currency? common army? some kind of limited common government (finance, foreign affairs, defense)? have common upper house of parliament in Vienna? With so many nationalities you can bet they wouldn't agree on anything. Btw the parliament in Vienna was built for the monarchy and they have the historical part of it that looks really nice (not sure its used) - http://www.digico.biz/public/images/...rliament_2.jpg
, the other part looks very socialist. http://static.guim.co.uk/sys-images/...rian-p-006.jpg
I can just tell that people may be more willing to cede power to a parliament representing a relatively small region (the monarchy) rather than the EU. People are pretty hostile to giving the EU any more power, and in my opinion its time to reduce the powers of the EU and cede them back. In hindsight I think the decision to accept euro in Slovakia was a mistake and we may have to leave it in the future. In Czech republic there is absolutely no chance of accepting euro. People see the incompetence of the EU and want its influence reduced. With the current migration crissis in the EU many people would even vote to leave the EU. If this problem is not resolved very soon (it doesn't look so) the end of EU may be near.