Sport Minister Glenn Blakeney put his support behind the Premier and called his decision "bold".
"He took a bold risk, the biggest risk of his political career," he said.
"For me it wasn't very outside of his character because he thinks outside of the box. He was thinking Bermuda."
Mr. Blakeney continued: "As I started out saying we are a blessed country and not withstanding the challenges we have. What's humbled me is my personal experiences".
Mr. Blakeney spoke about his son who has physically difficulties and another son who spent time in jail and said it was painful for him.
The Minister said he met the Uighurs and spent time with them. "I had the opportunity to meet the Uighurs with their interpreter. I feel confident that they don't present a security risk. And sometimes an error on the side of conscious is a good thing.
"I think Minister Burch and our honourable Premier did what they thought was in the best interest of the country. It may be wrong but it was the noble interest."
UBP MP Charlie Swan said: "We look to leaders who have ability, experience. I am having a little difficulty at what's transpired of the past week.
"We have a Premier now who is very bold and mentioned righting wrongs as one of the things his party and he would look at doing during his tenure.
"These are all honourable things. I just sometimes have questions."
He continued: "This motion was addressed to deal with the Premier. I wanted to talk on that issue of leadership. If one's trying to right past wrong these are things that governments have to do.
"It is the other side that has to do something about it."
Deputy Premier and Finance Minister Paula Cox said while she didn't agree with how the decision was made, she could not support a vote that could jeopardise the government.
"It is time to speak of many things and I am going to have a crucial conversation and a candid conversation. The last week has been an interesting week. I ask myself was it necessary and it is a resounding no.
"I think it is time for us to be more concerned about not cutting corners and it is also important for us to know that justice must also be done."
She continued: "I have never been a stepford wife. I have never been someone who has been brainwashed. That has never been my style up to now and that will never be my style."
Ms Cox talked about the decision that she was left out of last week.
"Now the honourable Premier and the Minister have taken a very dramatic, liberal and creative interpretation of their powers. Others may say they acted ultra vires but I don't think so.
"I'm not understanding the fact that we heard it was an immigration issue. I find it inconceivable to think that you can talk about getting prisoners and to bring them into Bermuda and for that not to be seen as foreign policy? It goes a little beyond an immigration issue.
"I believe that boldness has magic and genius in it. I believe that we want to be seen to have people who are shrewd, smooth, savvy and strategic."
She continued: "To me I believe there's ministerial accountability at all levels. What time is that because I know that people are watching us and we have a rising public voice.
"People also need to learn that they should respect our leader. No leader should have had to go through what I saw the honourable Premier go through. You support even when you don't always agree. That is so you know where I stand."
Ms Cox said she had problems with the motion launched by the UBP.
"That is because then you look at the constitution and the relevant section, it is not as absolute and strict as it may seem. However what do you think? Look at the front bench. Look at the backbench. Look at those who sit in another place."
The deputy premier said she didn't think the House was the correct place to debate the issue and suggested a delegates conference could have been organised.
"This is not the time of the place to have a lynching of the party leader.
"I do not even think there is a forum in the political sense. I cannot support coming to the House to take out the PLP party that the PLP government. This is my prescription.
"With that it gives me great pleasure to end my comments and to indicate that I will not be supporting this motion."
UBP deputy leader Trevor Moniz spoke briefly about "the mess" the Premier has caused to the Island as a result of his decision.
"The fact of the matter is that we as an opposition have it and our responsibility if we believe that the leader is not the right person to be Premier. There are clearly people who think we should have done something else.
"We felt it incumbent on us to give it the heaviest in terms of a motion that we could give it."
PLP backbencher Patrice Minors said she too couldn't support a motion that could force the PLP out of power.
She told the House she had received many e-mails about the topic with people on both sides of the fence but the one that stuck out said "keep the party together".
"There was nothing more that had to be said after hearing that", she said.
"What I will say is that I cannot and I will not exercise a vote that goes against this government. I am one that is pleased with the accomplishments that this Government has made. This Government is one that has it's people at heart."
UBP MP Darius Tucker applauded Dr. Brown's go-getter mindset and attitude of wanting to get things done.
"I am sure that the Premier has realised that some decisions were made that weren't in the best interest."