No, the legal system in the US absolutely does not have the resources to give a jury trial to everyone charged with a crime.
"According to the Bureau of Justice Statistics (2005), in 2003 there were 75,573 cases disposed of in federal district court by trial or plea. Of these, about 95 percent were disposed of by a guilty plea (Pastore and Maguire, 2003). While there are no exact estimates of the proportion of cases that are resolved through plea bargaining, scholars estimate that about 90 to 95 percent of both federal and state court cases are resolved through this process (Bureau of Justice Statistics, 2005; Flanagan and Maguire, 1990)."
"...Plea bargaining results in disparate treatment concerning both legal and extralegal characteristics, especially regarding those who are more likely to be granted lenient sentences."