The question was experience and what doomed Christie was not his politics, but whom he prosecuted.
https://www.justice.gov/archive/tax/usaopress/2005/txdv05kush0304_r.htm
NEWARK - Real estate developer and political contributor Charles Kushner was sentenced today to 24 months in prison for his pleas of guilty to assisting in the filing of false tax returns, retaliating against a cooperating witness and making false statements to the Federal Election Commission, U.S. Attorney
Christopher J.
Christie announced.
This was a nasty case that included this little gem of depravity and corruption:
Kushner further admitted at his plea hearing that he devised a scheme to retaliate against a cooperating witness - his sister - and her husband by having a prostitute seduce the husband and covertly filming them having sex. Kushner admitted that he paid a private investigator $25,000 to arrange for the seduction and videotaping of the cooperating witness' husband. Kushner admitted to personally recruiting the prostitute and instructing that the videotape be mailed to the cooperating witness.
Christie was dumped entirely because the criminal's son, Jared, was married to the daughter of the President-elect and played a large role in the campaign (and subsequent government). No other reason, certainly not "ideology". If not fur Kushner, Christie would have likely held a large role in the Trump Administration, Sec. State, AG, Chief of Staff, etc. Instead he had to stay out of the limelight and his biggest role was running debate prep in 2020 where Trump infected him with COVID that nearly killed him.
As for me and Christie, I still wouldn't have voted for him. On the partisan things Trump did in concert with other Republicans, I doubt they would be much different under a "Pres. Christie". Still the big tax cut, still packing the courts with the Leo/McConnell judges (perhaps Christie would have balked at a few of the blatently unqualified choices or insisted on a few cronies, but no real difference). There would have been a boost in border security, but no silly wall obsession or blatent Muslim ban. The Obamacare repeal might have actually worked at least in part, and there probably would have been some sort of actual infrastructure bill. Unless what you want of a conservative politician is punishment of your enemies, Christie would have delivered more as president.
On the non-partisan things a "Pres. Christie" would have almost certainly not coddled foreign dictators, damaged international institutions, and would have had a better and less deadly response to COVID, combined with more competent administrators, a better response that would have likely also had less economic impact and gotten himself reelected in 2020.
Short version, no, I would not prefer Christie generally, but he certainly would have been a better and less damaging president than Trump and that has nothing to do with him not being a "conservative".