Yes, but once arrested for a crime, you can be held in prison until the trial, or you can be released with restriction terms applied.....like you can't travel, you can't commit another crime however small, you can't taint a jury pool, you can't threaten or try to intimidate witnesses etc etc etc. or you can be put in jail to await your trial and your bail can be revoked.No, they were taken away. You are innocent until proven guilty.
It is simply a FACT that you lose certain rights temporarily, until a trial verdict. SC already decided constitutionality with a few cases giving precedent.