Led by Manoon Siriwan, the group is the third to meet the Constitution Drafting Committee (CDC) to explain their proposed changes to the constitution draft.
Earlier, eight groups in the National Reform Council (NRC) proposed changes to the draft and the CDC will hear their explanations during June 1-6.
Mr Manoon's 26-member group wants to see reforms implemented over the next two years and voters should be asked whether they agree with it at the referendum on the new charter.
"Since many people call for reforms to be carried out first, we proposed an interim clause be added to ask voters that question. Details of the reforms will be in the draft," said Mr Manoon.
"If people vote to endorse the new charter, we'll also know whether they want another two years of reform before the election is held or they want the polls to take place by the original schedule. But if they vote down the charter draft, a new process to write a new one will begin and the result will be irrelevant."
Mr Manoon admitted it would be difficult to gauge the success of the reforms but suggested constitutional organs such as the National Reforms Steering Council should draft the plan and the National Evaluation Committee determine the success.
"In any case, it cannot be longer than two years. Whether the reforms are done or not by then, the election must be held," he said.
Mr Manoon's group also urged the scrapping of the open-list method in the mixed-member proportional (MMP) system, viewing it confuses people and increases the number of invalid ballots.
Besides, "political groups" introduced by the draft should also be removed from the draft. The number of senators should also be trimmed from 200 to 150, 77 of whom are elected, one from each province. The rest will be screened.
Moreover, international agreements that need parliament approval should be only those involving territories or free trade to give the government a freer hand in international negotations, he said.
Public attorneys should also be allowed to sit on state enterprises' boards so they can protect national interests, he added.
The other NRC group which met with the CDC today sought to have voters directly elect one senator from each profession group.
Led by Prasarn Marukpitak, the group also wants the Corruption Court to have special status so cases can be fast-tracked.
Mr Prasarn's group also wants more reforms related to counter corruption and consumer protection.
CDC chairman Borwornsak Uwanno said after the meetings on Wednesday at least two groups had proposed the same thing — that the political groups element be scrapped.
"We may have to reconsider the issue. Personally, I think we can just make it easier to set up a political party so ordinary citizens can group together and be represented without having to spend so much money. Perhaps the number of members or branches required could be trimmed," Mr Borwornsak said.
"We've learned a party has already prepared to field only party-list candidates and have their nominees run for constituency seats. This is like what [the late former] Venezuelan president Hugo Chávez had done," Mr Borwornsak said without naming names.
After the CDC meets with all groups proposing changes to the draft, it will consider revising it. The final draft will be sent back to the NRC on Aug 6 and the reform council will cast a yes-or-no vote on it on Sept 9. No changes are possible at this stage.
If the NRC accepts it, a decision will be made whether a national referendum will be held to endorse it.
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