I must have missed the part where they beat a Capitol Police officer to death on their way into the building.
//Unfortunately I've hit the "You're posting too fast and you're not a democrat" limit so I can't reply further.
Were they merely "protesting?" Obviously not.
Did they want to somehow force the government to overturn or undo what they believed was a stolen election and install Trump into a second term? Quite likely.
I don’t think they were trying to take over the government themselves, but they clearly wanted to disrupt and interfere with the election process and keep their regime in power, despite losing the election.
And they wanted a fair election process.