>Blue states aren't letting people into Texas. Texas is.
You're going to have to explain what you mean by that: people in the US have a right to move to any state they want, and the state they move to has little say in the matter. The most the government in Texas could do is instruct and incentivize police agencies in Texas to hold illegals till ICE can pick them up, but that only works when ICE is willing to pick them up and deport them.
(Yes, there are employers in Texas that benefit from employing illegal immigrants: those employers lobby the Federal government; they wouldn't bother lobbying the Texas state government.)
You're going to have to explain what you mean by that: people in the US have a right to move to any state they want, and the state they move to has little say in the matter. The most the government in Texas could do is instruct and incentivize police agencies in Texas to hold illegals till ICE can pick them up, but that only works when ICE is willing to pick them up and deport them.
(Yes, there are employers in Texas that benefit from employing illegal immigrants: those employers lobby the Federal government; they wouldn't bother lobbying the Texas state government.)