All of which changes nothing. The question was asked why Cruz was still on the ballot if he was an illegal candidate. Roger Calero was on some of the ballots despite being a foreign Communist, which demonstrates the U.S. elections allowed an ineligible candidate to be on at lest some state ballots despite his strikingly obvious ineligibility. Just because the same kind of government malfeasance has allowed Ted Cruz to remain on all of the ballots so far does not indicate he is a lawful candidate, especially in these days of such widespread contempt for the rule of law and the Constitution by the Democrat and Republican political parties and their supporters in all walks of life.
The Constitution doesn't say anything about "running for President", in fact, it doesn't even recognize the existence of Presidential elections.
There is no restriction at the Federal level against anyone "running for President", ballot access is up to the State Legislatures and there's no reason in principle an ineligible person couldn't be listed on a ballot, but ineligible to receive electoral votes.
Every state that has looked at Ted Cruz’s eligibility has declared him to be eligible.
Just because there are some people who don’t agree with those court rulings doesn’t alter the fact that no jurisdiction has declared him to be ineligible.
Neither of Ted Cruz’s primary election opponents, Kaisch or Trump has challenged Cruz’s eligibility in court or before a state elections board.
Roger Calero is a naturalzed U.S. citizen.