Kids who are first learning to play the game are completely capable of playing to 0-0 ties; I would venture to say that half of the games played by beginners end with scoreless ties.
Any low-scoring game is disproportionately likely to end in a tie.
This pleases social levelers greatly.
The fact that the game was equally foreign to almost all American children was considered another point in its favour by the social levelers who pushed association football in the U.S. in the 1970s—not only would the games be more likely to end in ties, the fact that none of the children knew the game and few had developed any of the important skills of the game made it additionally attractive to those who wished to put all the children on the same level.
So your problem appears to be more with tie scores rather than social-leveling. (Although I see why the social-levelers went after baseball with such a vengeance).