No.
No, it won't.
First of all, I don't want to abolish all government welfare, I want to get rid of the waste, fraud and dependency in the system (of course you already know that, it's disingenuous of you to pretend otherwise). Secondly, trading the current welfare system for basic income is not abolishing government welfare, it's simply changing it's name.
1. Yes, many conservatives support/have supported a UBI.
2. If you are going to make an authoritative statement, show the evidence. Not, "here is what I think will happen" but actual evidence that it would not improve poverty.
3. EVERYONE wants to get rid of fraud waste abuse etc. If you create means-tested programs, there will forever be someone trying to get it fraudulently. And same with dependency. If you create a program that forces someone to live below a certain means to get it, you incentivize people to live that way. That is dependency. A UBI is given to every citizen. The only way to get it fraudulently is to fraudulently claim citizenship. That is far easier to monitor than preventing someone from claiming they make $9872 a year while they work under the table for $40K more. And, this IS the solution to dependency. If everyone gets it, it is the baseline so it is not dependency. Nobody says we are "dependent" on free police or free fire department or free defense. It is the baseline in this country but not others. So, if you want to make more than the UBI, you can. If you want to hire more security, you can. You don't lose the UBI just like you don't lose the police. No dependency.
Saying UBI from means-tested welfare is simply a name change shows ignorance of how these things function. That is like saying that universal health care is just a name change from Medicaid. It is a factually incorrect statement.
This is a far more libertarian idea than the system that you are defending. The true libertarian way would be no government welfare at all. But, you, and many, find that unpalatable. But, a UBI would be the least government invasive and controlling way to ensure basic welfare. After many decades of creating fraud, waste, abuse and dependency with this system, it is hilarious to hear, "I just want the welfare system without fraud waste, abuse and dependency." That is like saying, "I don't want these football rule changes. I want football to be played exactly like we have always played it, just without the concussions happening." It just doesn't work that way.