Unfortunately sharing of the Publish Profile is not supported or implemented in MSBuild. The logic to publish from the profile is contained in VS itself. Fortunately the profile doesn't contain much information so there are ways to achieve what you are looking for. Our targets do not specifically support the exact same steps as followed by the publish dialog, but to achieve the same result from team build you have two choices, I will outline both here.
When you setup your Team Build definition in order to deploy you need to pass in some values for the MSBuild Arguments for the build process. See image below where I have highlighted this.
Option 1:
Pass in the following arguments:
/p:DeployOnBuild=true;DeployTarget=PipelinePreDeployCopyAllFilesToOneFolder;PackageTempRootDir="\sayedha-w500\BuildDrops\Publish";AutoParameterizationWebConfigConnectionStrings=false
Let me explain these parameters a bit, show you the result then explain the next option.
DeployOnBuild=true:This tells the project to execute the target(s) defined in the DeployTarget property.
DeployTarget=PipelinePreDeployCopyAllFilesToOneFolder: This specifies the DeployTarget target.
PackageTempRootDir="\\sayedha-w500\BuildDrops\Publish": This specifies the location where the package files will be written. This is the location where the files are written before they are packaged.
AutoParameterizationWebConfigConnectionStrings=false: This tells the Web Publishing Pipeline (WPP) to not parameterize the connection strings in the web.config file. If you do not specify this then your connection string values will be replaced with placeholders like $(ReplacableToken_dummyConStr-Web.config Connection String_0)
After you do this you can kick off a build then inside of the PackageTempRootDir location you will find a PackageTmp folder and this contains the content that you are looking for.
Option 2:
So for the previous option you probably noticed that it creates a folder named PackageTmp and if you do not want that then you can use the following options instead.
/p:DeployOnBuild=true;DeployTarget=PipelinePreDeployCopyAllFilesToOneFolder;_PackageTempDir="\\sayedha-w500\BuildDrops\Publish";AutoParameterizationWebConfigConnectionStrings=false
The difference here is that instead of PackageTempRootDir you would pass in _PackageTempDir. The reason why I don't suggest that to begin with is because MSBuild properties that start with _ signify that the property in essentially "internal" in the sense that in a future version it may mean something else or not exist at all. So use at your own risk.
Option 3
With all that said, you could just use the build to package your web. If you want to do this then use the following arguments.
/p:DeployOnBuild=true;DeployTarget=Package
When you do this in the drop folder for your build you will find the _PublishedWebsites folder as you normally would, then inside of that there will be a folder {ProjectName}_Package where {ProjectName} is the name of the project. This folder will contain the package, the .cmd file, the parameters file and a couple others. You can use these files to deploy your web.
I hope that wasn't information over load.