I believe that if the bitcoin stabilize lest say in $2500 it will be seen as more trustworthy and the governments will surely start accepting it because they don't like the instability or the speculation.
Seriously? Going by your logic, why didn't governments consider Bitcoin to be "trustworthy" when it maintained its position above $6000 for such a long period of time? Bitcoin was so stable, that the degree of volatility reached near all time lows. People were even in the process of referring to Bitcoin as a stablecoin. Great time it was to use it as money.
If anything, with the recent market activity it makes more sense for governments and others to lose faith in Bitcoin, because it hasn't done anything to signal being a reliable form of money, nor an average joe proof asset class.