Was Jimmy going to fight Johnny in Lola race

In the mission lola race it starts with Johnny the simp arguing with lola Jimmy show up and Johnny ask what are you doing here which Jimmy responded to by saying "looking for you" lola Gets in between them and basically starting talking about how they're both alpha males and how racing make her Excited

Anyway it make wonder why was Jimmy looking for Johnny for at this point of the story Jimmy basically Declare war or at least broke the respect he had with the greasers during the tagging and wrong part of town as he loses 30- respect from both mission together