First of all, it a false equivalence. Two separate incidents with two separate causes.
Those who want to equate it, do so to minimize the magnitude of the Jan 6th insurrection. Titling this thread “BLM Riots VS Jan 6 PROTEST” already skews the answer: (‘They” rioted, we only “protested”.)
A major difference is in intent, and by who. The BLM riots where the looting and burning occured was driven by thugs taking advantage of the lawlessness to grab another pair of sneakers. Pure greed, orchestrated by no one. The Jan 6th insurrection was prompted by Trump and his aides (Giuliani: “Trial by combat”) who were purposely trying to disrupt the election process. “Hang Mike Pence” was a cry that Trump winked at in agreement. The Proud Boys (anti-Semitic group) had planned this for weeks. Trump wanted to overturn the election process, fueled the crowd, and did not call them off until hours later. The intent was criminal by the highest office holder in the land.
Don’t get confused by “us” verses “them”: “We own the libtards” etc. We can and should have conservative values, but the cult of personality and the raw grab to undermine the rule of law, an incompetent attempt at fascism, is in a different league than the hoodlums and thugs who burned down our cities for another pair of sneakers.