They didn't. At the time that Jesus lived the Romans had very little dealings with him. In fact they didn't even know who he was. That's why when it came time to arrest Jesus they had to have someone (Judas) point him out. It was only a certain group of Jewish authorities who perceived Jesus as a threat and so acted against him.
Jackson, much like Jefferson held deep Republican values (which differ from Republicans today in many ways) that championed the rights of the common American, so it was a "victory" for the common American.
Some became soldiers through out the war
to serve their country? to have money? this is a blanket question i can try to answer it if you give me more detail.