No that's not what I said - being very clear, 'minor role(related to theme) can't have such a big power'. You derived it from generic senator definition & built a fantasy power.
Above lines are what I repeated all these pages.
My further assessments that I didn't bring up till now(as I wanted to clear out one by one) & that's main reason I requested Varun to extend the timeline,
1) your words of 'if cop wants let them investigate' indicates - you are sure that you will show up as town in cop investigation. Meaning & correlating from theme, you are Bill and only way to reach you is we need to find Lecter. Lecter is lawyer here and have potential of disclosing the information if he is challenged( bringing him close to hammer, probably? ). So until that, you are safe.
2) yours words of 'its upto town or mafia to keep you alive' was intentionally done to divert the focus of high power role to stay till the end indirectly with doc expected to be on you and hence you don't have any issues in killing town one by one in night. No ambiguity will exist as you would be sure that doc is likely on you for being a president.
This makes sense as Lecter doesn't disclose the info on Bill that easily. He discloses only to Senator & Clarice. So Lecter being protective of Bill, should be relating to he being lawyer in this.