[Posse commiatus was re-written in the 2006 re-writing of the Insurrection act.
In this case, the President can send them in until the states can restore order.]
That was apparently repealed in 2008.
https://en.wikipedia.org/wiki/Posse_Comitatus_Act#2006%E2%80%9307_suspension
However, since it is clear that many state and local officials will not act to protect the property rights of their residents, but are actually aiding and abetting the law breakers in their destruction and thievery, Trump could invoke Eisenhower’s justification:
[In the mid-20th century, the administration of President Dwight D. Eisenhower used an exception to the Posse Comitatus Act, derived from the Enforcement Acts, to send federal troops into Little Rock, Arkansas, during the 1957 school desegregation crisis. The Arkansas governor had opposed desegregation after the United States Supreme Court ruled in 1954 in the Brown v. Board of Education that segregated public schools were unconstitutional. The Enforcement Acts, among other powers, allowed the president to call up military forces when state authorities were either unable or unwilling to suppress violence that were in opposition to the citizens’ constitutional rights.[5]]
It is my recollection that Eisenhower thought the decision was wrong, but he believed it should be enforced because the Court is part of the government.