Let me try to set up the context first: Romania, East European developing country, ex-behind the Iron Curtain, now in NATO and European Union.
The following events have actually happened. Some assumptions are made (e.g. why the Government actually feel) though.
End of October 2015 - a nightclub fire takes more than 60 lives. This event shows serious problems related to how Town Hall, National Health System and other institutions work (mainly corruption) and many people go on public strikes. About 60-70,000 people demanded Government resignation.
Back then, both the Parliament and the Government were controlled by the Socialist (or their satellite parties), but it was also one year before the general elections. Also, there some external pressure (EU, USA), so they allowed the fall of the Government, the President nominated a EU technocrat.
Mid December 2016 - Socialists and their satellites have won the elections (50% + 1 in both Chambers of the Parliament). The Government is also controlled by them. Only the President is from the opposition now.
Mid January 2017 - Socialists tried to secretly issue a Government decision that contains significant changes of Criminal Law. Shortly put, these changes allowed some notorious thieves to be freed from prison or charges against them to be dropped. Also, stealing from public funds becomes much more difficult to prosecute.
The President tricked them by coming to the Government meeting. By law, he leads the meeting if he is there, so everything became public.
People got out in the streets, but there are less than 30000 in several major cities.
Question: Is it possible that these protests change what politicians are going to do?
Their regime was just legitimized. Also, the international context is far from being so favorable to hope from external pressure (e.g. USA has just changed the President, there is no Ambassador to convey the usual "anti-corruption" message).
[EDIT] I will try to tighten the question to make it answerable.
Considering current political context - elections less than 2 months ago that brought current politicians to power (legitimization), reduced American political pressure for anti-corruption laws (usually expressed by the Ambassador) and no immediate popularity loss effects (next general elections in 4 years) - are there any political mechanisms that might help the protesters of blocking adaption of these law changes?
NOTE: Recently, I have found out about a principle called "the principle of the most favorable criminal law" that states that the most favorable criminal law should be applied, if the "favorable law" overlaps with the incarceration period. So, even if the change is done for a single day and then rejected in the Parliament, this principle can be applied.