Would Texas keep its current state government structure?

Yes, as the foundation. Independence does not throw out the government Texas has built. It keeps the existing structure, the constitution, the Legislature, the courts, the agencies, and makes the focused changes needed for that structure to function as a nation rather than as a member of the union.

The existing framework is the starting point, not a casualty

There is a myth that independence means tearing everything down and starting over. It does not. The Texas Constitution stays. The Legislature stays. The court system stays. The Railroad Commission, the Department of Public Safety, the Comptroller, the General Land Office, the Texas Military Department, all of it stays. Continuity is the default. The agencies that deliver services on Monday before a vote deliver them on Monday after.

A focused update, not a teardown

What independence does require is targeted constitutional work, and Texas has a proven, low-drama way to do it. In the 1960s, Texas cleaned up its constitution through a single amendment, often called the Deadwood Amendment, that removed obsolete and redundant language all at once. The same kind of vehicle can make the changes independence calls for: removing references to the federal government and the U.S. Constitution, adding treaty-making authority, and expanding the role of the office that handles foreign relations. These are surgical edits to a document that already works, not a blank page.

Some changes are mostly a change of name

A handful of updates are largely cosmetic, and they are choices, not requirements. An independent Texas could rename the State of Texas to the Republic of Texas, or rename the office of governor to president and the Legislature to a congress, to reflect its standing as a nation. Whether and how to make those naming changes is for the people and their elected representatives to decide. The institutions themselves carry over either way.

Filling the gaps the union left

After decades inside the union, there are areas where Texas simply deferred to federal law and never wrote its own. The United Kingdom faced the same thing leaving the European Union and handled it with legislation that carried existing rules over while it sorted out what to keep. Texas can do the same, and given its low-regulation tradition, it may also choose to let many union-imposed rules lapse rather than re-enact them. That is a policy decision for the future Texas, weighed by the people who will live with the result.

The bottom line

Texas keeps the government it already has and updates it to stand on its own. The foundation carries forward. The changes are deliberate, manageable, and decided by Texans.