There have been similar proposals w.r.t. California in the past including breaking up CA into different states.
IDK enough to know how it would work out for any state to go at it alone - off the top of my head one would think any state would have a tough time going at it alone - not to mention that depending on who is in charge of the country, they may use the US/Federal power against the seceding state vs working in good faith as w/ any other country.
w.r.t. moving to an independent TX - I guess that would be an option just like there are millions of Americans that have exercised the option to live outside the US - if the US became a woke state where conservatives would be targeted and be treated as second-class-citizens then it would def be an option including leaving the US.
I imagine talk of secession has been around for many years in different states and it's never come close - thus I assume it'd be something unlikely and unlikely to be passed by the majority of the state's electorate - seems something often used as political-tactics to rile-up a segment of the electorate.