This is an older question but I thought I'd share my fix for this.
You don't need the..
$.widget.bridge('uibuttonset', $.ui.buttonset);
There isn't any conflict there with Bootstrap (v3.3.6). The issue is $.ui.buttonset makes calls to .button() which isn't the the new name you declared so the conflict lives on. To fix this, I updated the calls to .button() inside .buttonset() to match the new name, "uibutton" or whatever you declare it as.
Below is my code for version jQuery UI 1.11.4. Perhaps there is an easier fix, but I've not come across it.
$.widget( "ui.buttonset", {
version: "1.11.4",
options: {
items: "button, input[type=button], input[type=submit], input[type=reset], input[type=checkbox], input[type=radio], a, :data(ui-button)"
},
_create: function() {
this.element.addClass( "ui-buttonset" );
},
_init: function() {
this.refresh();
},
_setOption: function( key, value ) {
if ( key === "disabled" ) {
this.buttons.uibutton( "option", key, value );
}
this._super( key, value );
},
refresh: function() {
var rtl = this.element.css( "direction" ) === "rtl",
allButtons = this.element.find( this.options.items ),
existingButtons = allButtons.filter( ":ui-button" );
// Initialize new buttons
allButtons.not( ":ui-button" ).uibutton();
// Refresh existing buttons
existingButtons.uibutton( "refresh" );
this.buttons = allButtons
.map(function() {
return $( this ).uibutton( "widget" )[ 0 ];
})
.removeClass( "ui-corner-all ui-corner-left ui-corner-right" )
.filter( ":first" )
.addClass( rtl ? "ui-corner-right" : "ui-corner-left" )
.end()
.filter( ":last" )
.addClass( rtl ? "ui-corner-left" : "ui-corner-right" )
.end()
.end();
},
_destroy: function() {
this.element.removeClass( "ui-buttonset" );
this.buttons
.map(function() {
return $( this ).uibutton( "widget" )[ 0 ];
})
.removeClass( "ui-corner-left ui-corner-right" )
.end()
.uibutton( "destroy" );
}
});
I hope that helps you and everyone else.