So i dont need this DC stabilizer before LTC3780 to work properly? Will it work fine with not so big distortion? If so i will skip this part.
That is correct. You have to stay within the maximum input voltage of the LTC3780 but it will have no problem rejecting input ripple.
It would be simply waste of power gone into heat. And you want to do it backwards. If you want cleaner output from DC/DC converter, you put linear regulator AFTER DC/DC converter, not before. Because DC/DC converter by itself is a major source of ripple.
Usually it is better to use a passive LCR network to remove switching ripple because the ripple rejection of a linear regulator falls with increasing frequency. Before I knew better, I tried that several times but later better measurement technique showed that the input and output decoupling networks combined with the series inductance of the power traces had more effect than the the linear regulator itself.
If you go this route, careful probing technique is necessary to get consistent results which means high voltage differential probes and maybe coaxial connections. Circuit layout is critical to prevent ground loops and that includes any probe grounds.